A manufacturer of kitchen appliances is preparing to set the price on a new blender. Demand is thought to depend on the price and is represented by the following model D=2,400 - 4P The accounting department estimates that the total cost can be represented by the following model. C= 4,700 + 6D Develop a mathematical model for the total profit TP in terms of the price, P A mathematical model for the total profit in terms of the price P is TP = (Simplify your answer Do not factor.)
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- - Consider demand: x(p₁) = 400 — 2p1 At a market price of p₁ = $125 per unit: • Determine the social loss due to moral hazard when assuming: 1. Full insurance compared to uninsured 2. A co-payment of $50 compared to uninsured 3. A 75% coinsurance rate compared to uninsuredA monopolist's total cost is TC = 4.5Q, where Q is output. Demand is Q = 10 - P , where P is price. When the monopolist chooses the profit maximizing Q*, the profit earned isBarbara Flynn sells papers at a newspaper stand for $0.40. The papers cost her $0.30, giving her a $0.10 profit on each one she sells. From past experience Barbara knows that: a) 20% of the time she sells 150 papers. b) 20% of the time she sells 200 papers. c) 30% of the time she sells 250 papers. d) 30% of the time she sells 300 papers. Assuming that Barbara believes the cost of a lost sale to be $0.05 and any unsold papers cost her $0.30 and she orders 250 papers. Use the following random numbers: 14, 4, 13, 9, and 25 for simulating Barbara's profit. (Note: Assume the random number interval begins at 01 and ends at 00.) Based on the given probability distribution and the order size, for the given random number Barbara's sales and profit are (enter your responses for sales as integers and round all profit responses to two decimal places): Random Number Sales Profit 14 4 13 9 25
- The owner of a boat has estimated the following distribution of demand for a particular kind of boat. No. demanded o 1 2 3 Probability 0.10 0.20 0.30 0.40 Each boat costs him (c + d) rials and he sells them for (2 • c + 2 • d) rials each. Prices are given in hundreds rial units. Boats that are left unsold at the end of the season must be disposed off for (c + d – 2) rials each. How many should be stocked so as to maximize his expected profit?As a potential owner of a club known as Club Salida, you are interested in determining the necessary volume of sales in dollars to reach the breakeven next year. You decided to break down the club's sales into. four categories, where beer is the first. Your estimate of the sale of beer is that it will serve 30,000 servings. The selling price per unit will average $ 1.50; its cost is $ .75. The second category is food, of which you expect sell 10,000 units with an average unit price of $ 10.00 and a cost of $ 5.00. The third category is desserts and wine, of which you also hope to sell 10,000 units, but with an average unit price of $ 2.50 and a cost of $ 1.00. The last category is inexpensive lunches and sandwiches, of which you expect sell a total of 20,000 units with an average price of $ 6.75 and a cost per unit of $ 3.25. Your fixed costs (i.e. rent, utilities, etc.) are $ 1,800 a month plus $ 2,000 a month for entertainment. a) What is your breakeven point in dollars per month? b)…An airline studied the data from their passenger records and noted that their customers turn up only about 95% of the time. A flight can accommodate 40 passengers and each seat costs 4,000 Php. Suppose each passenger books a ticket independently and the airline decides to sell 42 tickets for the flight. If more than 40 show up for the flight , then the extra passengers will be compensated PhP10,000 for rebooking and other expenses. 5. If Profit = Ticket sales-Compensation of Bumped passenger(s). What is the profit if 42 customers show up?
- Refer to the payoff table below of profits in ($000). Which decision alternative results from using the Conservative (Pessimestic) Decision Rule? PAYOFF TABLE High Demand Small Medium Large 35 300 550 -10 Moderate Demand 35 150 75 -10 Low Demand Do Nothing O A. Large O B. Do nothing OC. Medium O D. Small O E. Cannot be determined since relative frequencies are missing. 35 50 -45 -10Suppose the utility function for goods x and y is given by U(x,y) = xy + y4.1. Calculate the uncompensated (Marshallian) demand functions for x and y and describe how the demand curves for x and y are shifted by changes in I or the price of the other good.4.2. Calculate the expenditure function for x and y.4.3. Use the expenditure function calculated in (4.2) to compute the compensated demand functions for goods x and y. Describe how the compensated demand curves for x and y are shifted by changes in income or by changes in the price of the other good.4.4. Given money income = 6, px = 2, py = 2, calculate CV, EV, and consumer surplus when px becomes 4.The weekly demand of a slow-moving product has the probability mass function shown to the right. Find the expected value, variance, and standard deviation of weekly demand. The expected value of weekly demand is 1 (Type an integer or a decimal. Do not round.) The variance of weekly demand is 6. (Type an integer or a decimal. Do not round.) The standard deviation of weekly demand is (Round to three decimal places as needed.) Demand, x Probability, f(x) 0.3 0.2 IT 0.4 0.1 0.0 4 or more
- 4. A publisher prints copies of a popular weekly tabloid for distribution and sale. The fixed costs are $500 per print run, with each copy printed costing an additional $0.40. If C(q) is the cost function (in $) of the price of the print run as a function of copies printed, what is the formula for C(q)? Select one: a. C(q) = 500 + 0.4q b. C(q) = 500q + 0.4 c. C(q) = (500 + 0.4)q d. C(q) = 500 - 0.4q e. C(q) = 500q - 0.4 5. A hot dog vendor sells an average of 50 hot dogs during a Little League baseball game. If the sales are Normally distributed with a standard deviation of 7 hot dogs, what is the probability the vendor will sell between 45 and 65 hot dogs? Select one: a. 74.50% b. 92.36% c. 99.78% d. 174.50% e. 2.14 f. -0.71 g. 0.71An airline company offers four fairs as shown in the table below. The demand distribution for each fare is normal with mean and standard deviation as given in the table. Find an estimate of the protection levels for the classes using the heuristic EMSR-a. Note:- Do not provide handwritten solution. Maintain accuracy and quality in your answer. Take care of plagiarism. Answer completely. You will get up vote for sure.Elkins, a manufacturer of ice makers, realizes a cost of $250 for every unit it produces. Its total fixed costs equal $5 million. If the company manufactures 500,000 units, compute the following:a. unit costb. markup price if the company desires a 10% return on salesc. ROI price if the company desires a 25% return on an investment of $1 million