1) see picture 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= 2,000 – 2PThe accounting department estimates that the total cost can be represented by the following model.C = 4,000 + 4DDevelop 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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Managerial Economics: Applications, Strategies and Tactics (MindTap Course List)

14th Edition

ISBN:9781305506381

Author:James R. McGuigan, R. Charles Moyer, Frederick H.deB. Harris

Publisher:James R. McGuigan, R. Charles Moyer, Frederick H.deB. Harris

Chapter4A: Problems In Applying The Linear Regression Model

Section: Chapter Questions

Problem 4E

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KK ltd produces goods for sale. From trend analysis the management accountant established a demand function of the product to be P=40−1.5q, where P is the unit selling price and q is the quantity in thousands. The enterprise has been producing under the cost TC=q2+10q+50, where TC is the total cost in thousands of cedis.Required1. What is the optimal price to maximize profit?2. Determine the maximum profit and the sale revenue at this point.
It is known that the demand function for a good is shown by the equation P = - 5Q + 110 and the total cost of production is C = 100 + 10Q + 5Q². Calculate the maximum profit rate of sales, the amount of profit and the selling price per unit.
Until recently, hamburgers at the city sports arena cost $2.50 each. The food concessionaire sold an average of 1,375 hamburgers on game night. When the price was raised to $3.00, hamburger sales dropped off to an average of 1,250 per night. The concessionaire's fixed costs were $1,133.60 per night and the variable cost was $2.60 per hamburger. Answer the following questions (A) through (F). (A) Assume that the relationship between price p and demand x is linear. Express p as a function of x and find the domain of this function. p=nothing The domain of p is nothing. (Type a compound inequality.) (B) Find the revenue function in terms of x and state its domain. R(x)=nothing The domain of R(x) is nothing. (Type a compound inequality.) (C) Assume that the cost function is linear. Express the cost function in terms of x. C(x)=nothing (D) Graph the cost function and the revenue function in the same coordinate system. Choose the correct graph below. Find the…
The company is considering lowering the price of Model A to $27 in an effort to increase the number of units sold. Based on the results of price changes that have been instituted in the past, Tennis Products’ chief economist estimates the arc price elasticity of demand to be –2.5. Furthermore, she estimates the arc cross elasticity of demand between Model A and Model B to be approximately 0.5 and between Model A and Model C to be approximately 0.2. Variable costs per unit are not expected to change over the anticipated changes in volume. Evaluate the impact of the price cut on the (i) total revenue and (ii) contribution margin of Model A. Based on this analysis, should the firm lower the price of Model A? Explain
The company is considering lowering the price of Model A to $27 in an effort to increase the number of units sold. Based on the results of price changes that have been instituted in the past, Tennis Products’ chief economist estimates the arc price elasticity of demand to be –2.5. Furthermore, she estimates the arc cross elasticity of demand between Model A and Model B to be approximately 0.5 and between Model A and Model C to be approximately 0.2. Variable costs per unit are not expected to change over the anticipated changes in volume. a. Evaluate the impact of the price cut on the (i) total revenue and (ii) contribution margin of Model A. Based on this analysis, should the firm lower the price of Model A? Explain b. Evaluate the impact of the price cut on the (i) total revenue and (ii) contribution margin for the entire line of tennis rackets. c. Based on this analysis, should the firm lower the price of Model A? Explain
1) A manufacturer of kitche. Appliances is preparing to set the price on a new blender. Demand is thought to depend on the proce qnd is represented by the following model. D= 2,800-4p The accounting department estimates that the total cost can be represented by the following model. C=4,700+5D Develop a mathematical model for the total profit of TP in terms of the price, P. A mathematical mod for the total profit in terms of the price P is TP= ______
has established that the relationship between the price for one of its products is approximately. In addition there is a fixed cost of $45,000 per year and the variable cost to manufacture the product is $45 per unit. What level of demand maximizes the total revenue? Ans. is Blank 1. What level of demand maximizes the total profit for this product? Ans. is Blank 2. Blank 1_____________ Blank 2_____________
Question Google is considering an advertising campaign that is expected to increase the sales of its Pixel phone by 20%. Suppose that currently Google sells 1,000,000 units at $500 per unit and the variable cost per unit is $300. If the cost of the advertising campaign is $50 million, will Google find it acceptable? Question An attractive feature of new cell phones that was introduce d in recent years is that you can switch carriers easily with the same device. How does this feature affect demand for wireless phone services? What are the likely effects on the demand that a particular US carrier is facing? Are there any elasticities that were likely to be affected?
Let 10p + x = 100 be the demand equation, where p is the price per item when x items are demanded. (a) Find the total revenue when the level of production is: (i) 40; (ii) 41; (b) Find the exact revenue derived from the 41st item. (c) Find the approximate revenue derived from the 41st item. (d) What is the error if the derivative is used to approximate the marginal revenue?
The total revenue and cost functions of a firm are as follows, respectively: TR(Q) = 10Q – 1,5 Q2TC(Q)= 1,5Q2 Calculate the profit maximizing production level, price and total profit according to the following situations. Discuss the likely outcome/expectation for each situation. a. Find the firm's profit maximizing production level and profit, price and total revenue at this level.b. Find the income-maximizing production level and the profit, price, and total income at that level.
. An electricity producer has a constant marginal cost of production equal to $40 per megawatt. The residual demand for its electricity is given by P (q) = a−bq, where P is the price and q is the quantity of power generated by this producer. The producer knows the slope, b, but he vertical intercept of the residual demand curve, a is unknown. Assume A and B are greater than zero. If you get stuck, you may answer any of the following questions for special case where a = 80 And b = 0.5 for partial credit. (a) What is the marginal revenue, M R(q), for this producer? b) What is the optimal q for this producer? (c) What is the electricity producer’s optimal price? (d) What is the electricity producer’s optimal bid in a uniform price Auction? e) Suppose b is equal to zero. Would the producer have an incentive to submit a bid above its marginal cost? Explain.
The O’Neill Shoe Manufacturing Company will produce a special-style shoe if the ordersize is large enough to provide a reasonable profit. For each special-style order, the company incurs a fixed cost of $2000 for the production setup. The variable cost is $60 per pair, and each pair sells for $80.a. Let x indicate the number of pairs of shoes produced. Develop a mathematical modelfor the total cost of producing x pairs of shoes.b. Let P indicate the total profit. Develop a mathematical model for the total profit realized from an order for x pairs of shoes.c. What is the breakeven point?