Assume that it costs a company approximately C(x)=800,000+ 490x + 0.0005x² dollars to manufacture x game systems in an hour. (a) Find the marginal cost function C'(x). C'(x) = Use it to estimate how fast the cost is increasing when x = 60,000. $ per game system Compare this with the exact cost of producing the 60,001st game system. The cost is increasing at the rate of $ is $ per game system. The exact cost of producing the 60,001st game system the estimated cost of . The actual cost of producing the 60,001st game system is ---Select--- producing the 60,001st game system found using the marginal cost function. (b) Find the average cost function C(x) and the average cost to produce the first 60,000 game systems. (Round your answer to the nearest cent.) C(x) = C(60,000) = $ (c) Using your answers to parts (a) and (b), determine whether the average cost is rising or falling at a production level of 60,000 game systems. The marginal cost from (a) is ---Select--- ---Select--- the average cost from (b). This means that the average cost is at a production level of 60,000 game systems. Assume that it costs a company approximately C(x)=400,000+ 570x + 0.001x2 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 (in dollars) 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--- than the average cost from (b). This means that the average cost is ---Select-- at a production level of 10,000 smartphones.