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. 13,750 gadgets at $112.50 each
C. 11,250 gadgets at $137.50 each
D. 111 gadgets at $248.89 each


Answer: C

Mathematics

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Let x represent the number. Use the given conditions to write an equation. Solve the equation and find the number.The sum of four times a number and 9 is equal to the difference of twice the number and 5. Find the number.

A. 4(x + 9) = 2x - 5; - 
B. 4x + 9 = 2x - 5; 7
C. 4x + 9 = 2x - 5; - 7
D. 4x + 9 = 2x + 5; - 2

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Solve the problem.Matthew has saved a total of $28,000, of which $5600 is invested in the stock market. What percent of his total savings is invested in the stock market?

A. 15% B. 25% C. 30% D. 20%

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Find the Taylor series of the function at the indicated point.  Give the interval of convergence for the series. ?

What will be an ideal response?

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Solve the equation for the specified variable.A = bh for b

A. = 
B. = 
C. = 
D. = 

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