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: O a. 1045034.93 O b.713586.68 O c. 3498584082.68 O d. 1213500.68
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- 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 XThe Rainwater Brewery produces beer. The annual fixed cost is $150,000, and the variable cost perbarrel is $16. Price is related to demand according to the following linear equation.v -75,000 1,153.8pDevelop the nonlinear profit function for the brewery and determine the price that will max-imize profit, the optimal volume, and the maximum profit per year.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)
- show solution An oil refinery produces one base type of crude oil. The total cost is given by the equation Total Cost, TC = 50,000+20.2D +0.0001D2. The sales price in dollars per barrel is 35. At what level of production in barrels/week is cost/barrel minimum? What is the minimum cost per barrel? What is the maximum weekly profit that the company can make? At what level of production is the maximum weekly profit attainable? and Over what range of production is profit possible? Express answers in whole numbers and write the numerical values only.sarah earns 400 per week and spends 15% of her earning on tranpotation every weekAnswer 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…Ace Shoe Company sells heel replacement kits for men's shoes. It has fixed costs of $6 million and unit variable costs of $5 per pair. If the company charges $15 per pair, how many pairs must it sell to break even? Ace Shoe Company sells heel replacement kits for men's shoes. It has fixed costs of $6 million and unit variable costs of $5 per pair. Ace would like to earn a profit of $2 million; how many pairs must they sell at a price of $15? Ace Shoe Company sells heel replacement kits for men's shoes. It has fixed costs of $6 million and unit variable costs of $5 per pair. Suppose a consultant tells Ace it can sell 700,000 heel repair kits, what price must it charge to achieve a profit of $2.5 million?If company A manufactures t-shirts and sells them to retailers for US$9.80 each. It has fixed costs of $2625 related to the production of the t-shirts, and the production cost per unit is US$2.30. Company B also manufactures t-shirts and selll them directly to consumers.The demand for its product is p = 15 −x 125, its production cost per unit is US$5.00 and its fixed cost are the same as for company A . (i) Derive the total revenue function, R(x) for company A. (ii) Derive the total cost function, C(x) for company A. (iii) Derive the profit function, Π(x) for company A. (iv) Using a spreadsheet, create a table for showing x, R(x)?, C(x) for company A in the domain x = 50, 100, 150, 200, 250, 300, 350, 400, 450.(v) Graph the functions from (d) above on the same axes. (vi) From your graph, determine the break-even level of output for company A. (vii) Derive the total revenue function, R(x) for company B. (viii) Derive the profit…
- Drives Co. sells portable hard drives. They can sell 600 drives when the price is $75/drive, and they can sell 720 drives when the price is $45/drive. If x represents the number of drives sold, determine the following. (a) What is Drive Co.'s revenue function? R(x) =_ (b)What is the price per drive (in dollars) when revenue is maximized? _ (c) What is the maximum profit (in dollars) made from the sale of these drives if Drive Co. incurs production costs of $165 per drive and has fixed costs of $625? $_Calculate price per unit of table if total revenue is $6600 and the output sold is 30 unitsthese are the drop down options Washes per hour dollars