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 the sale price 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
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Solve the problem. Round to the nearest dollar.The price of a home is $270,000. The bank requires a 15% down payment and one point at the time of closing. The cost of the home is financed with a 15-year fixed-rate mortgage at 7.5%.a. Find the required down payment.b. Find the amount of the mortgage.c. How much must be paid for the one point at closing?d. Find the total cost of interest over 15 years.
A. a. down payment: $40,500 b. amount of mortgage: $229,500 c. points paid at closing: $2295 d. total cost of interest over 15 years: $382,949 B. a. down payment: $40,500 b. amount of mortgage: $229,500 c. points paid at closing: $2700 d. total cost of interest over 15 years: $153,449 C. a. down payment: $40,500 b. amount of mortgage: $229,500 c. points paid at closing: $2700 d. total cost of interest over 15 years: $112,949 D. a. down payment: $40,500 b. amount of mortgage: $229,500 c. points paid at closing: $2295 d. total cost of interest over 15 years: $153,449
Find all the first order partial derivatives for the following function.f(x, y) = ln 
A. 
= -ln
; 
= ln 
B. 
= 
; 
= 
C. 
= - 
; 
= 
D. 
= -ln 
; 
= ln 
Write the fraction that is represented by the given shading.
A. 
B. 
C. 
D. 
Find the LCD for the rational expression.
, 
A. 7x + 2 B. 7(x + 2) C. 7 D. x + 2