Find the total cost function Code) (in thousands of dollars) if the marginal cost in thousands...
6x² + c 60x A company has found that the marginal cost (in thousands of dollars) to produce x central air conditioning units is C'(x) = where x is the number of units produced (a) Find the cost function, given that the company incurs a fixed cost of $15,000 even if no units are built. (b) The company will seek a new source of investment income if the cost is more than $19,000 to produce 5 units. Should they seek...
7. Use information from the derivatives of f(x) to help you gra Find all local maximums and minimums. f(x)x3-9x2 +80 80 50 30 201 10 -6 30 8. For the given cost function Cox)-2-100x+10.000, find: a) The cost of production level 10 b) The marginal cost function? c) The marginal cost at production level 10 d) The production level that will minimize the cost Math 148 Business Calculus Page 3 7. Use information from the derivatives of f(x) to help...
(a) Suppose that the function giving the marginal cost, in dollars per gallon, when x gallons oil are made is (eq. 1) and the fixed cost (giving the cost when no barrels of oil are made) is $80. Find a function that would give the total cost, C (x), in dollars when x gallons of oil are made in the form (eq. 2) What is the value for the coefficient ? (Hint: You may take the derivative of (eq. 2)...
Marginal Marginal private cost external cost social cost Marginal Quantity (tons of paper) (dollars) (dollars) (dollars) 100 10 5 200 20 10 300 30 15 400 40 20 500 50 25 1) The table above gives the private costs and external costs of producing paper. Complete the table by finding the marginal social cost at each level of production. b. If the market is al competitive and is left unregulated and 400 tons of paper are produced, what is the...
Bus Econ 13.5.69 Question Help A company manufactures mountain bikes. The research department produced the marginal cost function C(x)-500-งิ 0sxs900 where C(x) is in dollars and x is the number of bikes produced per month. Compute the increase in cost going from a production level of 600 bikes per month to 900 bikes per month. Set up a definite integral and evaluate it. The increase in cost is s Bus Econ 13.5.81 := Question Help Given the supply function p=S(x)...
4x-5 2x+3 Find the average cost for each of the following production levels. The total cost (in hundreds of dollars) to produce x units of a product is C(x) a. 10 units b. x units c. Find the marginal average cost function. The average cost for 10 units is $ per unit. (Round to the nearest hundredth as needed.) The average cost for x units is hundred dollars per unit. The marginal average cost function is c'x)=
The cost, in thousands of dollars, of airing x television commercials during a sports event is given by C(x) = 150 + 2,400x -0.01x? (a) Find the marginal cost function CX). HINT [See Example 1.) CTX) Use it to determine how fast the cost is increasing when x = 4 thousand dollars Compare this with the exact cost of airing the fifth commercial The cost is going up at the rate of 5 per television commercial, The exact cost of...
The cost, in thousands of dollars, of airing x television commercials during a sports event is given by C(x) = 150 + 2,100x -0.01x2. (a) Find the marginal cost function C'(x). HINT [See Example 1.] C'(x) = Use it to determine how fast the cost is increasing when x = 4. thousand dollars Compare this with the exact cost of airing the fifth commercial. The cost is going up at the rate of $ per television commercial. The exact cost...
Marginal Cost (dollars) Marginal Physical Total Total Product of Variable Fixed Variable Input Fixed Input Input Variable Cost Cost Output (units) (units) (units) (units) (dollars) (dollars) $500 $0 $500 $200 $500 $400 $500 $600 $500 $800 $500 $1000 Refer to Exhibit 21-3. The average variable cost of producing 45 units of output is a. S2.44 (E) b. S1.60. c. $2.00. d. S1.33. e. $13.33.
41. Revenue and Marginal Revenue Let R(x) denote the revenue (in thousands of dollars) generated from the production of x units of computer chips per day, where each unit consists of 100 chips. (a) Represent the following statement by equations involving R or R': When 1200 chips are produced per day, the rev- enue is $22,000 and the marginal revenue is $.75 per chip. (b) If the marginal cost of producing 1200 chips is $1.5 per chip, what is the...