A company has established that the relationship between the sales price for one of its products and the quantity sold per month is approximately p = 76 -0.1D units. The fixed cost is $800 per month and the variable cost $26 per unit produced. What number of units, D*,should be produced per month and sold to maximize the profit per month related to the product?
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- The profit of a company, in dollars, is the difference between the company's revenue and cost. The cost, C(x), and revenue, R(x), are functions for a particular company. The x represents the number of items produced and sold to distributors. C(x) = 2500 + 60x R(x) = 800x - x? a) Determine the maximum profit of the company. The maximum profit of the company is b) Determine the number of items that must be produced and sold to obtain the maximum profit. The number of items that must be produced and sold to obtain the maximum profit isA company produces and sells a consumer product and is able to control the demand by varying the selling price. The approximate relationship between price and demand is 2700 5000 p = 38 + (for D>1) D² The company is seeking to maximize its profit. The fixed cost is $1,000 and the variable cost is $ 40 per unit. What is the number of units and total amount that should be produced and sold each month to maximize profit?The profit (in dollars) from the sale of x lawn mowers is P(x)= 20x - 0.02x^2 - 650 (A) Find the average profit per mower if 60 mowers are produced (B) Find the marginal average profit at production level of 60 mowers, and interpret results (C)Use the results from parts A and B to estimate the average profit per mower if 61 mowers are produced (
- major league baseball plans to sell special commemorative jerseys for the world series. the suppliers says that costs will be C(x)= 10x2-680x-20,000 dollras dor making x jerseys. MLB plans to sell them for 120 dollars each. how many jerseys must be sold for MLB to make a profit?Calculate price per unit if total revenue is $1000 and the quantity sold is 50 unitsThe revenue and cost functions for a particular product are given below. The cost and revenue are given in dollars, and xrepresents the number of units . R(x) = −0.2x2 + 172x C(x) = 78x + 10065 (a) How many items must be sold to maximize the revenue?(b) What is the maximum revenue?
- When the production volume (Q)is(100)units and the total costs (TC)is (1500) omani RIyals and fixed costs (900) Riyals then What is the average variable costT/F The fixed cost remains same at all level of output.The total cost (in dollars) of manufacturing x auto body frames is C(x) = 80,000 + 900x. (A) Find the average cost per unit if 500 frames are produced. (B) Find the marginai average cost at a production level of 500 units. (C) Use the results from parts (A) and (B) to estimate the average cost per frame if 501 frames are produced. (A) If 500 frames are produced, the average cost is $per frame. (B) The marginal average cost at a production level of 500 units is $ (Round to the nearest cent as needed.) per frame. (C) Using the results from parts (A) and (B), the estimate of the average cost per frame if 501 frames are produced is $ (Round to the nearest cent as needed.)