A company is negotiating a contract to sell wooden boards overseas. The fixed cost that can be allocated to the production of boards is $800,000 per month. The variable cost per thousand board feet is $155.50. The price charged will be determined by p = $600 − (0.5)D per 1,000 board feet. (i) For this situation, determine the optimal monthly sales volume for this product and calculate the profit (or loss) at the optimal volume. (ii) Calculate/Identify the range of profitable demand during a month.

A company is negotiating a contract to sell wooden boards overseas. The fixed cost that can be allocated to the production of boards is $800,000 per month. The variable cost per thousand board feet is $155.50. The price charged will be determined by p = $600 − (0.5)D per 1,000 board feet. (i) For this situation, determine the optimal monthly sales volume for this product and calculate the profit (or loss) at the optimal volume. (ii) Calculate/Identify the range of profitable demand during a month.

Survey Of Economics

10th Edition

ISBN:9781337111522

Author:Tucker, Irvin B.

Publisher:Tucker, Irvin B.

Chapter6: Proudction Costs

Section: Chapter Questions

Problem 8SQP

See similar textbooks

Similar questions

A large wood products company is negotiating a contract to sell plywood overseas. The fixed cost that can be allocated to the production of the plywood is $84309 per month. The variable cost per thousand board feet is $220.0 for demand 2176 units. The price charged will be determined by P-$739-0.07D per 1000 board feet. For this situation, calculate the profit for the mentioned scenario. Select one: a. 1045034.93 O b. 713586.68 C. 3498584082.68 d. 1213500.68
. A call center in India used by U.S. andU.K. credit card holders has a capacity of1,400,000 calls annually. The fixed cost ofthe center is $775,000 with an averagevariable cost of $2 and revenue of $3.50 percall.(a) Find the percentage of the capacitythat must be placed each year tobreak even.
sarah earns 400 per week and spends 15% of her earning on tranpotation every week
For 9 units of a product, a manufacturer's cost is C(9) dollars and revenue is R(g) dollars, with C(500) = 7500, R(500) = 9800, MC(500) = 15 and MR(500) = 25 . (a) What is the profit or loss at 4 500 ? The is (b) If production is increased from 500 to 501 units, by approximately how much does profit change? The change in profit is
What is the maximum profit for the profit-versus-production function given below? P is profit in dollars and x is units of production. P= $200,000 -0.12 - O (A) $200,000 O (B) $240,000 O (C) $290,000 O (D) $310,000 Remaining Time 4
A trailer manufactor has multiple products designed to be towed by a pickup (Ford F-150, Toyota Tacoma, etc). The production of one of their products - the XL7 5x10 trailer - referred to as XL7510 here, has a fixed 9 cost of $62,308 and a variable cost per unit of XL7510 equal to 202 + - dollars, where is the total 10 number of XL7510s produced. Suppose further that the selling price of this product is 1118 The x-values of the break-even points are The maximum revenue is Form the profit function: P(x) = = The maximum profit is The price that will maximize profit is 1 - dollars per unit of XL7510. 10 dollars (round to the nearest cent) dollars (round to the nearest cent)
The cost, in dollars, of producing x yards of a certain fabric is C(x) = 900 + 12x - 0.1x² +0.0005x³ and the company finds that if it sells x yards, it can charge p(x) = 27-0.00021x dollars per yard for the fabric. (a) Graph the cost and revenue functions. y 8000 6000 4000 2000 y 15 000 10 000 5000 R C 100 R =² C 100 200 200 300 300 X 400 400 X Use the graph to estimate the production level for maximum profit. 283.092 x yards y 15 000 10 000 5000 y 15 000 10 000 5000 R 100 R C 100 200 200 (b) Use calculus to find the production level for maximum profit. (Round your answer to two decimal places.) 186.63 yards 300 300 400 400 X
1 Vehicle purchase. A student living in Lower Hutt is considering the purchase of a newvehicle. An electric vehicle (EV) can be purchased for $40,000 and has a running cost of $0.20per km. Alternatively, a (petrol) combustion vehicle (CV) can purchased for $25,000 and has arunning cost of $0.45 per km. The student is determined to make a decision which minimisesthe total cost depending on the number of kilometres that the vehicle will be used.(Here you should assume that the running costs also account for periodic costs such as mainte-nance, insurance, registration.)(a) Describe the decision and environment variables associated with this problem.(b) Determine the utility function R(D, X) which maps the outcomes to the total cost incurred.(c) Use a break-even analysis to determine the number of km for which the optimal decisiondiffers above and below this amount. Specifically, plot R(D, X), determine where thebreak-even point occurs and mark it clearly on your plot, then briefly…
Answer all parts (a)-(g) of this question.Mette has started Mersea Oysters. She aims to export oysters to Germany where she acts as aprice taker. After a couple of nights of calculations she believes that her cost function is givenby C(q) = 100 + 6q + 2q2, where q denotes kilos of oysters harvested. The market price shewill face in Germany is 50 per kilo.(a) [4 marks] Derive Mette’s marginal cost function.(b) [7 marks] Use your result from (a) to determine the profit-maximizing output level.(c) [7 marks] Explain in words why the supply function for a price taker is the same as themarginal cost function.(d) [8 marks] Calculate Mette’s profit. Illustrate marginal cost and profit in a diagram.(e) [8 marks] Now instead assume that the price is 22. Should Mette produce at this price?(f) [8 marks] Assume again that the price is 22 but that the fixed cost of producing (100) issunk and was taken in the previous period. Should Mette produce at this price in this case?(g) [8 marks] Assume again…
Answer all parts (a)-(g) of this question.Mette has started Mersea Oysters. She aims to export oysters to Germany where she acts as aprice taker. After a couple of nights of calculations she believes that her cost function is givenby C(q) = 100 + 6q + 2q2, where q denotes kilos of oysters harvested. The market price shewill face in Germany is 50 per kilo.(a) [4 marks] Derive Mette’s marginal cost function.(b) [7 marks] Use your result from (a) to determine the profit-maximizing output level.(c) [7 marks] Explain in words why the supply function for a price taker is the same as themarginal cost function.(d) [8 marks] Calculate Mette’s profit. Illustrate marginal cost and profit in a diagram.(e) [8 marks] Now instead assume that the price is 22. Should Mette produce at this price?(f) [8 marks] Assume again that the price is 22 but that the fixed cost of producing (100) issunk and was taken in the previous period. Should Mette produce at this price in this case?(g) [8 marks] Assume again…
A privately owned summer camp for youngsters has the following data for a 15- :weeksession Charge per camper $130 per week Fixed costs $42,000 per session Variable cost per camper $70 per week Сарacity 180 campers Develop the mathematical relationships for (a) .total cost and total revenue What is the total number of campers that (b) ?will allow the camp to just break even What is the profit or loss for the 12-week (c) ?session if the camp operates at 80% capacity
F Given Cost and Revenue functions C(q)=q³-8q² +59q + 5000 and R(q) = -3 -39² +2600q, what cost is incurred when marginal profit is $0? The costs are $ (Round to nearest cent.)