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- The production costs per week for producing x widgets is given by the function: C(x) = 500 + 10x +32 x 2. What is the marginal cost when x= = 300A company produces at most 15 (thousand) widgets per year. Its profit P, in thousands of dollars, is a function of n, the number of widgets prouduced per year( in thousands of widgets) the marginal profit is given by dp/dn = 20 + n -n^2. A. What is the marginal profit if n= 3 ( thousand widgets) should the company increase or decrease production B. What is the marginal profit of n= 8 ( thousand widgets) should the company increase or decrease production C. How many widgets should the compay proudcue in order to maximizeThe 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.
- The cost of producing 5-gallon water bottles is given by C(q) = 0.005q2 + 2q + 1000. If 2000 5-gallon water bottles are produced, fint the marginal costThe marginal cost of producing the xth box of light bulbs is 4 + x2 dollars per box. Determine how much is added to the total cost by a change in production from x = 20 to x = 80 boxes. 1,000For the cost function C(Q) = 100 + 4Q + 19Q2 + 2Q3, what is the marginal cost of producing the fourth unit of output?