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- The cost, in thousands of dollars, of airing x television commercials during a sports event is given by C(x) = 150 + 2,600x – 0.06x2. (a) Find the marginal cost function C'(x). C'(x) = (b) Use the marginal cost to approximate the cost to air the 5th commercial. Convert your answer to dollars. The cost to air the 5th commercial is approximately X dollars. (c) What is the exact cost to air the 5th commercial? Convert your answer to dollars. The exact cost to air the 5th commercial is x dollars.Use the equations for the total cost C and total revenue R to find the number x of units a company must sell to break even. (Round to the nearest whole unit.) C = 8950x + 220,000, R = 9857xAssume that it costs a company approximately C(x) = 400,000 + 160x + 0.002x2 dollars to manufacture x smartphones in an hour. (a) Find the marginal cost function. Use it to estimate how fast the cost is increasing when x = 10,000. $ 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. The marginal cost from (a) is --Select--- v than the average cost from (b). This means that the average cost is ---Select--- v at a production level of 10,000 smartphones. Need Help? Watch It
- What is the difference between a price analysis and a cost analysisCost, revenue, and profit are in dollars and x is the number of units.If the daily marginal cost for a product is MC = 4x + 150, with fixed costs amounting to $600, find the total cost function for each day. C(x) =Cost, revenue, and profit are in dollars and x is the number of units. If the daily marginal cost for a product is MC = 8x + 150, with fixed costs amounting to $600, find the total cost function for each day. C(x) =
- Assume that it costs a company approximately C(x) = 400,000 + 160x + 0.003x² dollars to manufacture x smartphones in an hour. (a) Find the marginal cost function. Use it to estimate how fast the cost is increasing when x = 10,000. $ per smartphone Compare this with the exact cost of producing the 10,001st smartphone. The cost is increasing at a rate of $ (b) Find the average cost function C and the average cost to produce the first 10,000 smartphones. C(x) (10,000) = = per smartphone. The exact cost of producing the 10,001st smartphone is $ $ (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. The marginal cost from (a) is ---Select--- than the average cost from (b). This means that the average cost is ---Select--- Thus, there is a difference of $ at a production level of 10,000 smartphones.Suppose that the cost, in dollars, for a company to produce x pairs of a new line of jeans is C(x)=7000+6x+0.01x^2+0.0002x^3. (a) Find the marginal cost function. (b) Find the marginal cost at x=100 (c) Find the cost at x=100The total cost (in dollars) of producing x food processors is C(x) = 1600 + 40x-0.1x². (A) Find the exact cost of producing the 61st food processor. (B) Use the marginal cost to approximate the cost of producing the 61st food processor. CHEO (A) The exact cost of producing the 61st food processor is $ (B) Using the marginal cost, the approximate cost of producing the 61st food processor is $
- the cost of producing 5-gallon water bottles is given by C(q)=0.005^2+2q+1000. If 2000 5-gallon water bother are produced find the, (i) total cost (ii) average cost (iii)marginal cost (iv) marginal average costK Drilling of an oil well has a fixed cost of $40,000 and a marginal cost of M'(x) = 5000+56x dollars per foot, where x is the depth in feet. Find the expression for M(x), the total cost of drilling x feet. [Note M(0) = 40,000] M(x)=the cost of producing 5-gallon water bottles is given by C(q)=0.005^2+2q+1000. If 2000 5-gallon water bottles are produced find the, (i) total cost (ii) average cost (iii)marginal cost (iv) marginal average cost
