In this fictitious example, you are a pharmaceutical analyst considering two different vaccines, Vaccine A and Vaccine B. As you can see in the attached workbook, both vaccines have different administration costs. Vaccine A costs $22 to administer. Vaccine B costs $13 to administer. The number of shots of each vaccine are also subject to constraints, where the maximum number of Vaccine A that can be administered is 1000, and the maximum number of Vaccine B is 750. Further, the number of Vaccine A to be administered must be less than or equal to Vaccine B. Using the attached workbook, solve for the number of Vaccine A and Vaccine B to administer with the objective of maximizing net profit. What is your resulting net profit?

Answers

Answer 1

Profit maximising total cost is $22000.

The question says, 'maximize the profit', but per unit, profit figures are not given, only per unit.

Cost is given. So, we will assume that minimizing total cost is equivalent to maximizing total profit.

Let the number of vaccines administered be x for Vaccine A and y for Vaccine B. Then,

Total cost, z = 22x + 13y. This is the objective function

Constraints:

Number of Vaccine A administered must be less than 1000 => x < 1000.

The number of Vaccine B administered must be less than 750 => y < 750

The number of Vaccine A administered must be less than the number of Vaccine B administered => x <

Naturally, both x and y must be non-negative.

Thus, the Linear Programming Problem is:

Minimize z = 22x + 13y

Subject to

x < 1000

y < 750

x<y

x, y z C

The last constraint => the points to be considered are confined to the first quadrant.

x < 1000 covers all points to the left of the line parallel to the y-axis at a distance of 1000 units to the

right of the y-axis.

y < 750 covers all points below the line parallel to the x-axis at a distance of 750 units above the x-axis.

x < y covers all points below the 45 line.

Thus, the feasible region is bounded by the polygon OPQRO, where, O is the origin, P(750, 750) is

The point at which the 450 line intersects the line y = 750, Q(1000, 750) is the point at which the line x

= 1000 intersects the line y = 750 and R(1000, 0) is the point at which the line y = 750 intersects the

X-axis

Substituting the coordinates of these points in the objective function, z = 22x + 13y, we have:

Zo = 0; Zp = 26250; zo = 31750; and ZR = 22000

Clearly, ZR = 22000 is the minimum

Thus, profit maximising total cost is $22000.

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Related Questions

Tape worms and Lice examples of blank that can cause diseases in humans

Answers

Answer:

Parasites

Explanation:

Answer:

Parasites

Explanation:

Match the receptors with their motor responses
tiles :
optic receptors
auditory receptors
photoreceptors
skin receptors

boxes:
a cats fur rising when touched

a student giving an answer in response to a verbal question

a person stopping at a red traffic light

a sunflower turning toward a light source

Answers

Answer:

optic receptors = a person stopping at a red traffic light

auditory receptors = a student giving an answer in response to a verbal question

photoreceptors = a sunflower turning toward a light source

skin receptors = a cats fur rising when touched

Explanation:

Optic receptors - a person stopping at a red light.
Auditory receptors - a student giving an answer in response to a verbal question.
Photo receptors - a sunflower turning toward a light source.
Skin receptors - a cats fur rising when touched.

Education and healthcare are two examples of​ _________ in international business.

Answers

The answer is infrastructure.

Olympic ski jumping suits are designed like kites. they are tailored to catch air that can help lift the skier higher into the atmosphere. why do the suits still appear tight to the skiers’ bodies and not more expansive, like a kite? explain your thinking. write a paragraph that is about 100 words long.

Answers

The suits are not very expansive and appear tight to the skiers’ bodies.

How Olympic ski jumping suits are designed?

The Olympic ski jumping outfits are made to give athletes extra lift. The following issues may arise as the suits grow in size:

The outfit adds air drag, which might slow down jumping.
The control and balance of the skier are compromised by a large extensible suite.
As a result, the suits are not very roomy and look snug on the skiers' bodies.

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Why might marketers empathize the association between superfoods and ancient cultures ?

Answers

The association between superfoods and ancient cultures is worth emphasizing by marketers because this connection is backed up by historical institutions and FDA.

Superfoods is a term used to refer to foods that confer the most nutritional benefits while avoiding unnecessary fats, calories, and sugars. These foods are rich in vitamins, minerals, omega-3-fatty acids, and anti-oxidants.

The word superfood is mostly used to market certain food products and the association between superfood and ancient culture is often emphasized because this association influence the customers to think that these foods are all-natural and are not processed, since the ancient culture lacked industries and processing units. Many historical institutions and FDA also backs up the fact that some foods like chia seeds, matcha, etc are ancient and are nutritionally superior and were used by people in ancient times to keep them healthy.

Overall, the term superfood is a marketing strategy because a single food item cannot contain all the elements required by the body.

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Binge eating is characterized by (5 points)
distorted body image and an extreme limitation of calorie intake
limiting types and amounts of foods eaten without feelings about body size
out of control eating followed by compensating for the intake of calories
wanting to eat alone and lack of control over when to stop eating

Answers

In this question, three signs of diseases are given, which are bulemia or anorexia, binge eating and binge eating disorder.

distorted body image and extreme limitation of calorie intake-bulemia or anorexialimiting types and amounts of food eaten without feelings about body size- binge eatingeating out of control followed by offsetting calorie intake wanting to eat alone and lack of control over when to stop eating - Binge eating disorder

What causes anorexia?

Anorexia nervosa results from a combination of

geneticsocialneurological and psychological factors.

Among the main factors involved in the development of this disease are genetic predisposition, through family history of psychiatric diseases and a history of rejection or sexual abuse.

What causes a person to have binge eating?

This disorder can be triggered by anxiety attacks, hormonal problems, very restrictive diets or a big loss, for example. Binge eating is curable, especially when identified and treated early on.

With this information, we can conclude that In this question, three signs of diseases are given, which are bulemia or anorexia, binge eating and binge eating disorder.

distorted body image and extreme limitation of calorie intake-bulemia or anorexialimiting types and amounts of food eaten without feelings about body size- binge eatingeating out of control followed by offsetting calorie intake wanting to eat alone and lack of control over when to stop eating - Binge eating disorder

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After first exposure to an antigen, about how long does it take for antibodies to reach a detectable level?

Answers

Answer:

The immune system can take from 7-14 days to make enough antibodies to fight the antigen

Explanation:

Which is a long-term benefit of healthy eating

Answers

Answer:

you need to add the possible answers

Explanation:

add the possible answers so we can answer them

5. Why is exercise an important part of a weight-loss
program? Why is exercise also important for
gaining weight?

Answers

Exercise is helpful for weight loss & maintaining weight loss. Exercise can increase metabolism or how many calories you burn in a day.

Exercise controls weight so you can help maintain/achieve a healthy weight in your weight gaining process.

which activity causes the greatest risk of driving fatalities

Answers

Answer:

drinking alchohol

Explanation:

it is the highest statistic in all the worlds driving death rates

Answer:

Drinking and driving

Explanation:

What do you think are the important public policy steps needed to ensure that our food supply is safe?

Answers

Clean the food and separate them

Explain the three relationships between physical activities in overall health including brief descriptions of three types of physical activities

Answers

There is a deep relationship between health and physical activities.

What is the relationship between physical activity and health?

Regular physical activity helps to prevent diseases such as heart disease, stroke, diabetes and several cancers. It also helpful in prevention of hypertension, maintain healthy body weight and can improve mental health.

The three main types of physical activity are aerobic which is also called "cardio", muscle-strengthening, and bone-strengthening.

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Describe a baby at birth

Answers

When a baby is first born, the skin is a dark red to purple color. As the baby starts to breathe air, the color changes to red. This redness normally starts to fade in the first day. A baby's hands and feet may stay bluish in color for several days.

How many steps are in the return to play progression, not including immediate rest after the injury?.

Answers

Answer:

6 steps

Explanation:

Under the Time of Payment of Claims provision, health insurance claims must
be paid
A O Immediately.
BO Within 30 days.
CO Within 45 days.
DO Within 60 days.

Answers

Under the Time of Payment of Claims provision, health insurance claims must be paid Immediately.

What is health insurance claims?

Citizens get health insurance in order to enable the person to access health care very easily. If a person has health insurance, it reduces the out of pocket spending of the person on health issues.

Thus,  under the Time of Payment of Claims provision, health insurance claims must be paid Immediately.

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What chapter of the ohio administrative code defines the ohio board of nursing and the requirements that nursing education programs must demonstrate in order to receive approval in the state?.

Answers

Chapter 4723-5 is the answer

People who suffer from test anxiety feel it how often before taking tests?
A. Consistently
B. Rarely
C. Only before long tests
D. Every once in a while

Answers

i think it’s A.
explanation: i’ve had a similar question and i chose A and got it correct.
A.
It is proven by many psychologists and mental health professionals that anxiety is constant

Select the correct answer.
Which Is the best definition of a dietary supplement?
a. a substance that enhances health by adding
synthetic forms of nutrients to the diet
b. a pill, liquid or powder that is not a food Item and
contain some nutrients
c. a synthetic substance that is chemically similar to
the hormone testosterone

Answers

Answer:

B

Explanation:

Dietary supplements usually contain some nutrients that can be found in natural foods.

List eight safety and etiquette rules that skiers should follow

Answers

To make your skiing better, the following safety tips are recommended:

Always wear your helmet.Stay hydrated throughout your stay.Make sure you have the proper equipment and in the best condition.Always keep your skis or snowboard under control.If you do stop on the slope, try not to do so in blind spots or places that make it difficult for other skiers to pass.Always make sure you have enough room to maneuver.When turning, make sure that no one is following behind to avoid accidents.Avoid separating from your team, if you do, move around the sides of the track.

What are the ski rules?

Basically, in alpine skiing, the athlete descends a course at high speed and must pass inside the markings in the snow, called “gates”. The objective is to make the journey in the shortest possible time. Skiers can reach up to 150 km/h on the big steep descents of the Winter Olympics.

With this information, we can conclude that there are areas for each level of difficulty, so try to follow the rules of each center!

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Which of the following is a factor that enhances compatibility?

Feeling that your partner has value and deserves attention

Having similar interest in or level of education as your partner

Respecting your partners beliefs

Expressing concern for your partners well-being

Answers

Having similar interest in or level of education as your partner

which action is known to reduce speeding in teens

Answers

Answer:

higher fines

Explanation:

or higher enforcement rates

the more you sleep, the less tired you will feel. This would indicate that sleep and tiredness are

Answers

Answer:

Inversely related

Explanation:

When one thing goes up the other goes down

Sleep and tiredness have an inverse relationship—more sleep leads to feeling less tired.

The relationship between sleep and tiredness is well-established. When we sleep, our bodies and minds undergo restorative processes that help replenish energy levels and reduce fatigue. Adequate sleep allows for the rejuvenation of physical and cognitive functions, leading to decreased feelings of tiredness.

During sleep, various physiological processes occur, including muscle repair, hormone regulation, and memory consolidation. These processes contribute to the restoration and revitalization of the body and mind, resulting in increased alertness and decreased tiredness upon waking.

Research consistently demonstrates that insufficient sleep leads to increased fatigue and decreased cognitive performance. Sleep deprivation disrupts the body's natural circadian rhythm and impairs the functioning of various bodily systems. As a result, individuals experience higher levels of tiredness, reduced concentration, and diminished overall well-being.

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The correct question is:

The more you sleep, the less tired you will feel. This would indicate that sleep and tiredness are what?

The scene is safe, you've turned on the AED and it prompts you to attach the pads. Choose the best answer for correct pad placement on a 10 year old child cardiac arrest victim.
A - Place one pad on center of chest and the other in the middle of the victim's back

B - Place one pad on lower right side of chest below the breast and the other on the upper left side of chest above the breast

C - Place one pad on upper right side of chest and one on upper left side of chest

D - Place one pad on upper right side of chest and the other pad on the lower left side of the chest

Answers

The correct option is D. Place one pad on upper right side of chest and the other pad on the lower left side of the chest.

What is an AED?

It is an acronym for automatic external defibrillator, which corresponds to a device that discharges electrical energy into an individual's rib cage, being used to normalize the heart rhythm after an arrhythmia. It can also be used to analyze heart rate and diagnose tachycardia or cardiac arrest.

Therefore, it is essential that the use of the AED is correct and in the ideal position, so that the electrical charge can normalize a person's heart rate, helping in emergencies relevant to the maintenance of life.

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How many steps are in the return to play progression, not including immediate rest after the injury?.

Answers

Answer:

6 steps

Explanation:

For which disease must your district offer you a vaccination if you were exposed to blood or opim on the job?.

Answers

A disease which your district must offer you a vaccination if you were exposed to blood or OPIM on the job is hepatitis B.

What is vaccination?

Vaccination can be defined as a safe, and effective process that involves the use of vaccines on people, so as to enable them in acquiring an active immunity to a particular infectious disease before they come in contact with the disease.

According to the Occupational Safety and Health Administration (OSHA), hepatitis B is a disease which your district must offer you a vaccination if you were exposed to blood or other potentially infectious materials (OPIM) on the job.

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Which term could describe a person's biological sex?

Answers

X and Y chromosome's

Suppose you are volunteering with a public health agency in a state that has just passed a law
that makes bicycle helmets mandatory for all riders. Describe two ways you could determine
whether the law is improving bike rider safety and public health. (8 points)

Answers

Answer:

You could look up the rate of head-related bicycle injuries at your local hospital. If the rate has gone down, the law is helpful.

Answer:

A law requiring bicycle helmets for all riders would almost certainly increase safety and public health. However, if you want to put this to the test, you have two options:

You may compare the number of accidents that occurred before the law was passed to the number of accidents that occur now. This would show if the law had an effect on the absolute number of accidents.

You may also examine the incidents that did occur and calculate the proportion of those accidents that were less serious because the persons involved were wearing helmets.

Explanation:

W

The glycemic index of foods is ____

Answers

Answer: The glycemic index, simply put, is a measure of how quickly a food causes our blood sugar levels to rise. The measure ranks food on a scale of zero to 100. Foods with a high glycemic index, or GI, are quickly digested and absorbed, causing a rapid rise in blood sugar.

Explanation:

During physical activity of high intensity . your heart will beat at a percentage

Answers

Answer:

between 77% and 93%

When it comes to promoting abstinence, scare tactics and threats are usually the least effective methods. what do you think are the three most persuasive reasons to abstain from sexual activity? rank them from one to three, with reasons included.

Answers

Answer:

1. STDs and STIs

2. Pressure/ uncomfortable with the person

3. Teen pregnancy

Explanation:

1. Without the proper education on safe sex practices, there is a very high risk of contracting a sexual transmitting disease without even knowing. Before having sex, you should be taught how to protect yourself and your partners.

2. Someone may be pressured into having sex because the other individual is persuading them to do so, not necessarily listening to what their own body is saying. The person should make sure they are ready and comfortable at all moments. Educate on consent and what it entails.

3. If teens are taught that abstinence is the only way, there will be much more teen pregnancies. They need to be educated on the ways to prevent pregnancy. The risks of having sex should be talked about with both partners before consenting.

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