12. [-/9 Points] DETAILS WANEFMAC7 11.2.012.MI. MY NOTES ASK YOUR TEACHER PRACTICE ANOTHER Assume that it costs a company approximately C() = 800,000 + 380x + 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 $ per game system. The exact cost of producing the 60,001st game system is $ . The actual cost of producing the 60,001st game system is -Select- the estimated cost of 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 ) = (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- the average cost from (b). This means that the average cost is -Select- at a production level of 60,000 game systems. Need Help? Roud It 13. [-/11 Points] DETAILS WANEFMAC7 11.2.013. MY NOTES ASK YOUR TEACHER PRACTICE ANOTHER Your college newspaper The Collegiate Jave stanton sells for 90 per comy. The cost of oreducing x copies of an edition is given by