A computer manufacturing company has a fixed cost of $7,000. It will cost $700 to produce each computer. The total cost for the company is the sum of its fixed costs and variable costs. Write the total cost, C, as a function of the number of computers produced, x. Then find C(20).
a. C(x) = 7,000 - 700x; C (20) = $ 14,700
b. C(x) = -7,000 + 700x; C (20) = $ 17,700
c. C(x) = -7,000 - 700x0; C (20) = $ 25,000
d. C(x) = 7,000 + 700x; C (20) = $ 21,000
d. C(x) = 7,000 + 700x; C (20) = $ 21,000
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A. -0.00396 B. -0.000396 C. -0.0396 D. -0.0000396
Find the slope of the line through the points and interpret the slope.
A. ; for every 7-unit increase in x, y will increase by 1 unit
B. -7; for every 1-unit increase in x, y will decrease by 7 units
C. - ; for every 7-unit increase in x, y will decrease by 1 unit
D. 7; for every 1-unit increase in x, y will increase by 7 units
The total cost function for a product is , and the demand function is
, where p is the number of dollars and x is the number of units. Find
the consumer's surplus at the point where the product has maximum profit. Round to the nearest cent. ? A. $256.00 B. $295.38 C. $576.00 D. $384.00 E. $182.86
Solve.A rectangle that is x feet wide is inscribed in a circle of radius 20 feet. Express the area of the rectangle as a function of x. Graph the function and from the graph determine the value of x, to the nearest tenth of a foot, which will maximize the area of the rectangle.
A. 28.7 feet B. 27.9 feet C. 28.3 feet D. 29.1 feet