Four IUP graduates just launched HawkPen, a company that produces needle tip liquid gel ink pens...

 

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Four IUP graduates just launched HawkPen, a company that produces needle tip liquid gel ink pens with a built-in stylus to use on tablets or touch screens. They discover that their cost to produce 100 pens is $10.41, while their total cost to produce 500 pens is $44.01. (a) Let x be the number of pens produced. Find HawkPen's total cost function: C(x) = (b) What is the fixed cost of the pen production? $ (c) Find the average cost function: C(x) = (d) Find the average cost for HawkPen to produce 30 pens. Write your answer in cents, rounded to 1 decimal place. So, when HawkPen produces 30 pens, their cost is an average of cents per pen. (e) What is HawkPen's total cost to produce 30 of the pens (in dollars, do not round)? $ (1) What is HawkPen's total cost to produce 31 of the pens (in dollars, do not round)? $ (a) What is the cost of just the 31 st pen (in dollars, do not round)? (h) What is Hawk Pen's marginal cost when producing 30 pens (in dollars, do not round)? Will the marginal cost here be the same at every production level (for all values of x)? A. No, the marginal cost will be different at each production level B. The marginal cost will decrease as the average cost decreases C. There is not enough information to be able to tell D. Yes, because the cost function is linear, the marginal cost will always be the slope What in the lake ** dollars per pen Four IUP graduates just launched HawkPen, a company that produces needle tip liquid gel ink pens with a built-in stylus to use on tablets or touch screens. They discover that their cost to produce 100 pens is $10.41, while their total cost to produce 500 pens is $44.01. (a) Let x be the number of pens produced. Find HawkPen's total cost function: C(x) = (b) What is the fixed cost of the pen production? $ (c) Find the average cost function: C(x) = (d) Find the average cost for HawkPen to produce 30 pens. Write your answer in cents, rounded to 1 decimal place. So, when HawkPen produces 30 pens, their cost is an average of cents per pen. (e) What is HawkPen's total cost to produce 30 of the pens (in dollars, do not round)? $ (1) What is HawkPen's total cost to produce 31 of the pens (in dollars, do not round)? $ (a) What is the cost of just the 31 st pen (in dollars, do not round)? (h) What is Hawk Pen's marginal cost when producing 30 pens (in dollars, do not round)? Will the marginal cost here be the same at every production level (for all values of x)? A. No, the marginal cost will be different at each production level B. The marginal cost will decrease as the average cost decreases C. There is not enough information to be able to tell D. Yes, because the cost function is linear, the marginal cost will always be the slope What in the lake ** dollars per pen

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