18) An appliance company determines that in order to sell x dishwashers, the price per dishwasher must be P = 660 -0.4x. It also determines that the total cost of producing x dishwashers is given by C(x) = 5000+ 0.6x². What is the maximum profit? A) $103,900 B) $108,900 C) $113,900 D) $212,800
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- Given Cost and Price (demand) functions C(q) = 110q + 45000 and p(q) = - 2.8q + 800, what profit can be earned if the price is set to be $550 per item? U The profit is $ 1,?9 (Round to the nearest cent.) A company produces a special new type of TV. The company has fixed costs of $499,000, and it costs STT00 to produce each TV. The company projects that if it charges a price of $2300 for the TV, it will be able to sell 850 TVs. If the company wants to sell 900 TVs, however, it must lower the price to $2000. Assumo a linear demand. What is the marginal profit if 200 TVs are produced It is $ 0 per item. (Round answer to nearest dollar.)Crawford Computing finds that its weekly profit, in dollars, from its production and sale of x laptop computers is P(x)=-.002x^3-.15x^2+400x-800 Currently, Crawford builds and sells 9 laptops weekly. (a) what is the current weekly profit? (b) how much profit would be lost if production and sales dropped to 8 laptops weekly? (c) what is the marginal profit with x=9? (d) use answers from parts (a) and (c) to estimate the profit resulting from the production and sale of 10 laptops weekly.(b) The total revenue curve of a firm is R(q) = 40q – 12q² and its q- 12.85q + 20 + 30 400 where q is the firm's output. average cost A(q) Derive an expression C(q) for the firm's total cost function. Derive an expression II(q) for the firm's profit function. iii. Is the rate of change of profit increasing or decreasing when the ouput level of the firm is 10 units? iv. Determine the level of output for which the firm's profit is maximize v. What is the firms's maximum profit? i. ii.
- When x gallons of olive oil are produced, the profit function is given by P(x) = 2x – 1000 (i) Find the value of x that maximizes profit. (ii) Compute maximum profit. 5000Cost, revenue, and profit are in dollars and x is the number of units. A firm knows that its marginal cost for a product is MC = 2x + 25, that its marginal revenue is MR = 73 – 6x, and that the cost of production of 80 units is $8,560. (a) Find the optimal level of production. units (b) Find the profit function. P(x) = (c) Find the profit or loss at the optimal level. There is a -Select--- v of $Cost, revenue, and profit are in dollars and x is the number of units. Suppose that the marginal revenue for a product is MR = 1800 and the marginal cost is MC = 90Vx + 4, with a fixed cost of $600. (a) Find the profit or loss from the production and sale of 5 units. There is a -Select-- | of $ (b) How many units will result in a maximum profit? units
- 6. Let p(x) = 4 – 0.0002x be the price (in TL) of each unit of a certain product required to attract a demand of x units in a year and let C(x) = 600 + 3x be the total cost of producing x units of the product in a year. (a) (- as large as possible? What is the number of units that should be produced to make the yearly profit (b) What is the yearly profit in case (a)Cost, revenue, and profit are in dollars and x is the number of units.A firm knows that its marginal cost for a product is MC = 2x + 25, that its marginal revenue is MR = 43 − 4x, and that the cost of production of 80 units is $8,560. (a) Find the optimal level of production. units(b) Find the profit function. P(x) = (c) Find the profit or loss at the optimal level. There is a ---Select--- profit loss of $ .Suppose a company has fixed costs of $600 and variable costs per unit of x + 1130 dollars, where x is the total number of units produced. Suppose further that the selling price of its ²x product is 1200 - 1x dollars per unit. (a) Find the break-even points. (Enter your answers as a comma-separated list.) x = 10,60 (b) Find the maximum revenue. $ 2880000 (c) Form the profit function P(x) from the cost and revenue functions. P(x) = 1200x - 31²) - (600 + 1² +1130x) Find the maximum profit. $ 625 (d) What price will maximize the profit? (Round your answer to the nearest cent.) $ 35 X
- The marginal revenue (in thousands of dollars) from the sale of x handheld gaming devices is given by the following function. )= 4x (x² +27,000) 4x R'(x) = 2 (a) Find the total revenue function if the revenue from 130 devices is $21,660. (b) How many devices must be sold for a revenue of at least $38,000? BECED (a) The total revenue function is R(x)=, given that the revenue from 130 devices is $21,660. (Round to the nearest integer as needed.) (b) devices must be sold to generate a revenue of at least $38,000. (Type a whole number.)Assume that it costs a company approximately C(x) = 400,000 + 140x + 0.003x? dollars to manufacture x smartphones in an hour. (a) Find the marginal cost function. 400,000 – 0.000009 Use it to estimate how fast the cost is increasing when x = 10,000. 2$ per smartphone Compare this with the exact cost of producing the 10,001st smartphone. The cost is increasing at a rate of $ per smartphone. The exact cost of producing the 10,001st smartphone is $ Thus, there is a difference of $ (b) Find the average cost function C and the average cost to produce the first 10,000 smartphones. C(x) = C(10,000) = $ (c) Using your answers to parts (a) and (b), determine whether the average cost is rising or falling at a production level of 10,000 smartphones. -Select--- at a production level of 10,000 smartphones. The marginal cost from (a) is --Select--- than the average cost from (b). This means that the average cost isA company that produces cleaning products is considering a proposal to begin production of a new detergent that would cost $1 a bottle to make and distribute, and retail for $2.19 a bottle. Fixed cost for the operation would be $3000 a week. Assume that all output can be sold. (a) What would be the total cost, revenue and profit for a weeklyvolume of 10,000 bottles?