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![A pharmaceutical company manufactures two brands of vaccines. The annual demand
and cost functions (in million dollars) are given by
p = 200 – 8x + y
(price of Vaccine A)
(price of Vaccine B)
(cost function)
q = 160 + x – 4y
-
C(x, y) = 250 + 100x + 90y
where x is the annual demand for Vaccine A and y is the annual demand for Vaccine
B (both in million). Find the marginal profits Px and Py when x =
6 and y = 8.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F8b120ece-833f-49e0-ba4c-074d9c9a5b11%2F71436356-e94a-47cd-a759-6e3077180f93%2Fmt0cp6s_processed.jpeg&w=3840&q=75)
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- ammm. 11The next two questions are based on the following information: Sallie produces specialty T-shirts that are sold at special events. For an upcoming event, she can sell each T-shirt at $20 per shirt. However, when the event ends, any unsold T-shirts will be sold at a clearance price of $4 per shirt. It costs Sally $8 to make a T-shirt. Sally's estimate of the demand is the following. Demand Probability 300 0.05 400 0.1 500 0.4 600 0.3 700 0.1 800 0.05 Fill in the blank: The critical ratio is $Betty runs a toy store. Each toy costs Betty $4 and sells for $10 (so the gross profit per unit sold is $6). Daily demand varies according to the following table: Demand Probability 90 0.64 100 0.24 110 0.12 At the beginning of every day, Betty replenishes shelves with 100 toys (i.e., there are 100 toys for sale every day). If daily demand is less than 100, an inventory holding cost of $0.10 is charged for each toy that is not sold. However, if daily demand is greater than 100, a stockout occurs, and a shortage cost of $0.90 is charged for each unit of demand that cannot be satisfied. Unsatisfied demand is lost. (a) Set up intervals of random numbers that can be used to simulate daily demand. (b) Sketch a simulation table and perform a simulation for 9 days. Use the random numbers 0.76, 0.26, 0.77, 0.57, 0.87, 0.35, 0.50, 0.56, and 0.90 to generate simulated values for daily demand for those 9 days. Based on this sample of 9 days, what is the average daily net profit and service level…
- The global pandemic 2020 has promoted a race to capture the market for introducing effective vaccine and treatments. If FARTER is the sole vaccine provider given the following information, answer the questions below: Output Price/Unit Total Cost 1 5500 1000 2 5000 1200 3 4500 1500 4 4000 2500 5 3500 4000 6 3000 5700 7 2500 7500 8 2000 9400 9 1500 11400 10 1000 13500 Given the tabular information above find the profit-maximizing output and price also illustrate the same using the two-dimensional labeled diagram. Show the calculation as well. Assume if many firms enter into the business of providing vaccine determine: How the demand curve of FARTER would change and how it would now maximize its profit? The kind of market structure now FARTER is forced to…The global pandemic 2020 has promoted a race to capture the market for introducing effective vaccine and treatments. If PFIZER is the sole vaccine provider given the following information, answer the questions below: Output Price/Unit Total Cost 1 5500 1000 2 5000 1200 3 4500 1500 4 4000 2500 5 3500 4000 6 3000 5700 7 2500 7500 8 2000 9400 9 1500 11400 10 1000 13500 Given the tabular information above find the profit-maximizing output and price also illustrate the same using the two-dimensional labeled diagram. Show the calculation as well. Assume if many firms enter into the business of providing vaccine determine: How the demand curve of PFIZER would change and how it would now maximize its profit? The kind of market structure now PFIZER is forced to operate in? Also, illustrate the same using the two-dimensional…The global pandemic 2020 has promoted a race to capture the market for introducing effective vaccine and treatments. If PFIZER is the sole vaccine provider given the following information, answer the questions below: Output Price/Unit Total Cost 1 5500 1000 2 5000 1200 3 4500 1500 4 4000 2500 5 3500 4000 6 3000 5700 7 2500 7500 8 2000 9400 9 1500 11400 10 1000 13500 Given the tabular information above find the profit-maximizing output and price also illustrate the same using the two-dimensional labeled diagram. Show the calculation as well.
- Health economists in Alberta have determined that the following Rational Relation, C(x) x + 1300 100-x represents the expected cost, C(x), in millions of dollars, to vaccinate x% of the Alberta population against COVID-19, once a vaccine becomes available and has been purchased by the federal government and distributed to each province. 3 a) Graph the relation on the mathematical domain using Desmos and appropriately label and title the graph. Attach the graph with this submission. b) Simplify the right hand side of this relation to one fraction, fully factored. Clearly show the algebra.Reactors `R’ Us operates a nuclear power plant in Potsdam.In the event of reactor failure, there would be major damages to the North Country. The company can reduce the probability of failure through proper maintenance of the facility. The marginal cost of maintenance is increasing in the amount of maintenance done (and thus decreasing in the probability of an accident). We can write this marginal cost curve as MAC=2-10p (where 0<p<1, and represents the probability of a failure over a 50 year period). The marginal expected damages are an increasing function of the probability of an accident so that MD=2.2+10p. Provide a graph or graphs to illustrate your analysis/answers to the following questions. A. What is the efficient probability of reactor failure? B. If “Reactors ‘R’ Us” thinks that, in the event of reactor failure, they will NOT be found liable for damages, what probability of failure will they choose? C. If “Reactors ‘R’ Us” thinks that, in the…You are managing a competitive corn farm that faces random demand. You must decide how much corn to produce before observing the actual price. As the 2 adjacent figure shows, the price will be $12 or $6 per bushel. The probability the price will be $12 is and the probability that the price will be $6 is - Your MC 3 3 $14 marginal cost curve is also included in the figure. PH=MRH $12 The quantity of corn that maximizes expected profit is bushels. $10 (Carefully enter your response considering the units on the axes of the given figure.) S8 The quantity you would produce if you knew the actual price was $12 is bushels. L= MRL The quantity you would produce if you knew the actual price was $6 is bushels $6 Suppose you produce the quantity of corn that maximizes expected profit, compared to what you would produce if you knew the actual price before producing. $4- The amount of profit lost if the actual price is $12 is $ The amount of profit lost if the actual price is $6 is $ (Enter a…
- Multichoice company broadcasts to subscribers in Lusaka and Solwezi. The demand for each ofthese two groups are Qsz= 50 - (1/3) Ps and QUSK= 80 - (2/3) Pusk, where Q is in thousands ofsubscriptions per year and P is the subscription price per year. The cost of providing Q units.ofservice is given by C (Q) = 1000 + 30Q, where Q = Qsz + QusK. Assuming Multichoice is aMonopoly and can engage in third-price discrimination, then1. What is the profit-maximizing price and quantity in Solwezi Market?2. What is the profit-maximizing price and quantity in Lusaka Market?3. Suppose the Monopoly can only charge a single. What price should it charge and what isthe total quantity sold?When choosing a distribution strategy, which of the following statements are true? There can be many factors that influence the choice of a distribution strategy. A manufacturer should avoid intermediaries and always try to sell directly to the end customer. A national distribution strategy can be easily applied to global markets. For a retailer, it is always more economical to buy the goods directly from a manufacturer instead of hiring a wholesaler. When choosing a distribution trategy, the long-term factors are often much more important than the short-term ones.A local defense contractor is considering the production of fireworks as a way to reduce dependence on the military. The variable cost per unit is $40D. The fixed cost that can be allocated to the production of fireworks is negligible. The price changed per unit will be determined by the equation p=$180-(5)D, where D represents demand in units sold per week. a.What is the optimum number of units the defense contractor should produce in order to maximize profit per week? b.What is the profit if the optimum number of units are produced?
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