A golf ball manufacturer knows the cost associated with various hourly production levels, given below. Production Costs for Golf Balls Production (hundred balls b) 2 5 8 11 14 17 20 Cost (dollars C) x 253 364 439 500 527 574 631 (a) Write the function for the cubic model that gives the production costs for golf balls in dollars where b is the hourly production level in hundred balls, with data from 2 sb s 20. (Round all numerical values to three decimal pla dollars C(b) = (b) If 1000 balls are currently being produced each hour, calculate the marginal cost at that level of production. (Round your answer to three decimal places.) X per hundred balls $ Interpret the result. (Round your numerical answer to three decimal places.) At an hourly production level of 1000 golf balls, production cost is increasing by $ per hundred golf balls. (c) Construct the function for the model that gives average cost in dollars per hundred balls where b is the hourly production level in hundred balls, with data from 2 sbs 20. (Round all numerical values to three decimal places. C(b) = dollars per hundred balls

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