1) What is the optimal number of units the defense contractor should produce in order to maximize profit per week? 2) What is the profit if the optimal number of unit produced?
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- 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?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? Show handwritten solutionsPSMC produces two types of GPU. One is gaming GPU (Type 1) and the other is pro GPU (Type 2). Their market data are listed below. a) What is the total profit generated from the two products, as a function of the two decision variables p1 and p2? b) When does the profit function reach its optimal value? c) The production capacity of PSMC semiconductors is constrained by 2v1 + v2 ≤ μ. What is the range of μ that makes the solution point not on the constraint boundary? *please answer a-c and either type or neatly write your work, steps, and answers* No EXCEL thank you
- SMC produces two types of GPU. One is gaming GPU (Type 1) and the otheris pro GPU (Type 2). Their market data are listed below. a. What is the total profit generated from the two products, as a function ofthe two decision variables p1 and p2? b. When does the profit function reach its optimal value? c.The production capacity of TSMC semiconductors is constrained by 2v1 + v2 ≤ μ. What is the range of μ that makes the solution point not on the constraint boundary? *please solve a-c and either type or neatly write your answers and all your work on paper. NO EXCEL* thank you!A company has determined that the price and the monthly demand of one of its products are related by the equation D = (400 - P)1/2 , where p is the price per unit in dollars and D is the monthly demand. If the associated fixed costs are $1,125/month, and the variable costs are $100/unit, what is the optimal number of units that should be produced and sold each month to maximize the profit?A firm produces two goods, A and B. Due to the product A’s fall in popularity near the end of last year, the estimated demand (units purchased) for A is 25% less than that of B. The selling price per unit is $30 for A and $20 for B. If the revenue target is $85,000 this year, how much of each of the two goods must be sold? (Round to whole number if necessary)
- Based on the best available econometric estimates, the market elasticity of demand for your firm’s product is −3.0. The marginal cost of producing the product is constant at $150, while average total cost at current production levels is $215. Determine your optimal per unit price if: Instructions: Enter your responses rounded to two decimal places.A local restaurateur who had been running a profitable business for many years, recently purchased a three-way liquor license. This on-premise license gives the owner the legal right to sell beer, wine, and spirits in her restaurant. The cost of obtaining the three-way license was about $90,000, since only 300 such licenses are issued by the state. While the license is transferable, only $75,000 is refundable if the owner chooses not to use the license. After selling alcoholic beverages for about one year, the restaurateur came to the realization that she was losing dining customers and that her profitable restaurant was turning into a noisy, unprofitable bar. Subsequently, she spent about $8,000 placing advertisements in various newspapers and restaurant magazines across the state offering to sell the license for $80,000. After a long wait, she finally received one offer to purchase her license for $77,000. a) Would you recommend that she accept the $77,000 offer? b) The restaurateur…Using a linear specification, you estimate your demand curve to equal Q=20-2P+10I, where • Q = the quantity demanded of your product • P = the price of your product • I = customer income (measured in thousands of dollars) In addition, your operations team estimates you have a constant marginal cost of $10. What quantity should you set to maximize profits assuming your average customer income equals $18000 (i.e. I=18)? a. Q=45 b. Q=50 c. Q=55 d. Q=90 e. Q=180
- Consider a two-stage context where the incumbent invests in capacity of K1 in stage one. For a demand function of Q = 50 – 0.5P, where Q is the market quantity, P is price, and there is one incumbent and one potential entrant in the market, show how to find the incumbent’s best response function in stage two. Per-unit labour and capital costs equal 20 and fixed costs equal 100 for both firms.You have been promoted to be the new manager of Nefertiti Hotel, and you must decide where to build a new hotel. The finance department believes that Morocco is the better option due to the tax benefits of $5 million, while the marketing department estimates the present value of gross operating profits to be only $10 million in Morocco compared to $14 million in Tunisia. If it costs $15 million to build the hotel in either location, would it be more profitable to build in Morocco or Tunisia? If the hotel is located in Morocco, what would the firm's economic profits be?compute, show solution, explainA company is considering outsourcing its customer service work. The following are bids received from two different companies. Vendor Price A $10,000 + 120X B $100,000 + 30X X- Number of calls received per year. The number of calls per year that the company has to service so that both the offers from vendors A and B are equally attractive is the following. Group of answer choices 1500 1000 1600 900 1200