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if the total cost c=0.2q3 - 4q2 +1000, what is the marginal cost when q=100
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- The cost, in thousands of dollars, of airing x television commercials during a sports event is given by C(x) = 20 + 3,000x + 0.09x² (a) Find the marginal cost function C'(x). HINT (See Example 1.] C'(x) = Use it to estimate how fast the cost is Increasing when x- 4. thousand dollars per television commercial Compare this with the exact cost of alring the fifth commercial. The cost is going up at the rate of $ per television commercial. The exact cost of airing the fifth commercial is $ Thus, there is a difference of $ (b) Find the average cost function C, and evaluate C(4). HINT [See Example 2.] C(x) = C(4) - thousand dollars per television commercial What does the answer tell you? The average cost of airing the first four commercials is $ per commercial.What is the average variable cost of washing 90 cars? is the answer 4 or .7?The 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 average costA manufacturer!s total cost is C(x) = 0.1x3 - 0.25x2 + 300x + 100 dollars, where x is the level of production. Estimate the effect on the total cost of an increase in the level of production from 6 to 6.1 unitsThe function C(x)=−24x+1936 represents the cost to produce x items. What is the least number of items that can be produced so that the average cost is no more than $20?
- If the number of miles for a delivery is 5 & the number of minutes is 30, what is the estimated overhead cost associated with that delivery rounded to two decimals?The estimated cost to produce x items is given by the function: C(x) = 0.004x² + 5x + 6000 Determine the average cost and marginal cost of producing 2,000 items and calculate the level of output for which the average cost is the lowest and what that cost is.a bus which holds at most 45 people to go to an educational tour in a museum. The bus company requires at least 30 people to go. It charges 748 per person if up to 40 people go. If more than 40 people go, it charges each person 748 less 0.2 times the number more than 40 who go. Find the total cost as a function of the number of students who go