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- At what output level is variable costs per unit at a minimum? Supporting Materials Steel Costs $ per ton MC ATC $175 AVC $115 $70 4,000 9,000 11,000 16,500 Steel Outp ut (in tons)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 XT/F The fixed cost remains same at all level of output.
- 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.)A company produces and sells a product and fixed costs of the company are a500000 Baisa and variable cost is RO. (35+K) per unit, and sells the product at RO. (70+M) per unit. Find the total cost function. b. Find the total revenue function. Find the profit function and determine the profit when 1250 units are sold. d. How many units must be produced and sold to yield a profit of RO. 20000? How many units must be sold to break even?Cost Analysis A company manufactures fuel tanks for cars. The total weekly cost (in dollars) of producing X fuel tanks is given by.. C(x) = 10000 +90x - 0.05x² %3D Find the exact cost of producing the 501st item. (Round to the nearest 2 decimal places, if needed) HINT: Steps to fiınd actual or exact (cost/revenue/profit) 1. Find the cost of x = 5003B 2. Then find the cost of x = 501%3; 3. Then subtract ASUS 3 近
- A company produces and sells a product and fixed costs of the company are 8500000 Baisa and variable cost is RO. (35+K) per unit and sells the product at RO. (70+M) per unit.a. Find the total cost function. b. Find the total revenue function. c. Find the profit function and determine the profit when 1250 units are sold. d. How many units must be produced and sold to yield a profit of RO. 20000? e. How many units must be sold to break even?If the profit function for selling smart phone screen magnifier is -4500p2 + 561500p – 11898000, what selling price should Pineapple Store use to maximize profits? $62.39 $264.40 $32.95 $7.37The figure shows graphs of the total cost function and the total revenue function for a commodity. (Assume cost and revenue are measured in dollars.) 500 400 300 200 100 میرا 10 20 30 (a) Label each function correctly. function A -Select- function B -Select- (b) Determine the fixed costs. (c) Locate the break-even point. A B 40 50 60 Determine the number of units sold to break even. units (d) Estimate the marginal cost MC and marginal revenue MR. MC = MR-
