Solve the problem.Suppose a business can sell x gadgets for p = 250 - 0.01x dollars apiece, and it costs the business  dollars to produce the x gadgets. Determine the production level and cost per gadget required to maximize profit.

A. 10,000 gadgets at $150.00 each
B. 111 gadgets at $248.89 each
C. 11,250 gadgets at $137.50 each
D. 13,750 gadgets at $112.50 each


Answer: C

Mathematics

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The value V, in dollars, of a certain investment after t years is given in the table below. Use exponential regression to model the value as a function of time. Round your answer to two decimal places.  t 2 4 6 8 10 V 2,837.81 3,026.40 3,280.19 3,550.18 3,831.51?

A. ?
B. ?
C.
D. ?

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Provide an appropriate response.True or False? 10|2

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Solve.From a 15-inch by 15-inch piece of metal, squares are cut out of the four corners so that the sides can then be folded up to make a box. Let x represent the length of the sides of the squares, in inches, that are cut out. Express the volume of the box as a function of x. Graph the function and from the graph determine the value of x, to the nearest tenth of an inch, that will yield the maximum volume.

A. 2.3 inches B. 3.1 inches C. 2.5 inches D. 2.8 inches

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Mathematics