Solve the problem.You are planning to close off a corner of the first quadrant with a line segment 21 units long running from (x, 0) to (0, y). Show that the area of the triangle enclosed by the segment is largest when 
What will be an ideal response?
If x , y represent the legs of the triangle, then x2 + y2 = 212.
Solving for y, y = 
A(x) = xy = x
A'(x) = - 
+ 
Solving A'(x) = 0, x = ± 
Substitute and solve for y: (
)2 + y2 = 441 ; y = 
? x = y.
You might also like to view...
Determine whether the following is always true or not always true. Given reasons for your answers.(u × v) ? v = 0
What will be an ideal response?
Solve the problem.A company that produces appliances has found that revenue from the sales of the appliances is $50 per appliance, less sales costs of $250. Production costs are $400, plus $40 per appliance. Profit (P) is given by revenue (R) less cost (C), so the company must find the production level x that makes P > 0, that is, R - C > 0.(a) Write an expression for revenue, R, letting x represent the production level (number of appliances to be produced.)(b) Write an expression for production costs C in terms of x.(c) Write an expression for profit P, and then solve the inequality P > 0.(d) Describe the solution in terms of the problem.
A. (a) R = 50x - 250;
(b) C = 400 + 40x;
(c) P = (50x - 250) - (400 + 40x) = 5x - 650; 5x > 650; x > 130
(d) To make a profit, more than 130 appliances must be produced and sold.
B. (a) R = 50x + 250;
(b) C = 400 - 40x;
(c) P = (50x + 250) - (400 - 40x) = 10x - 150; 10x > 150; x > 15
(d) To make a profit, more than 15 appliances must be produced and sold.
C. (a) R = 50x - 250;
(b) C = 400 +
Perform the division.
A. p + 6 + 
B. p - 6
C. p - 5 + 
D. p - 6 + 
Provide an appropriate response.When completing a check stub, to arrive at the ending balance, take the beginning balance and:
A. subtract the check and the deposit B. add the check and subtract the deposit C. subtract the check and add the deposit D. add the deposit and the check