Find the maximum and minimum values of the function and the values of x and y for which they occur.P = 6x + 7y, subject to2x + 3y ? 12,2x + y ? 8,x ? 0,y ? 0.
A. Maximum: 32 when x = 3 and y = 2; minimum: 0 when x = 0 and y = 0
B. Maximum: 28 when x = 0 and y = 4; minimum: 0 when x = 0 and y = 0
C. Maximum: 28 when x = 0 and y = 4; minimum: 24 when x = 4 and y = 0
D. Maximum: 24 when x = 4 and y = 0; minimum: 0 when x = 0 and y = 0
Answer: A
You might also like to view...
Provide an appropriate response.A horizontal beam safely supports a load P that varies jointly as the product of the width W of the beam and the square of the depth D and inversely as the length L. A beam that has a width of 10 in, depth of 18 in. and a length of 70 in. can safely support 1,944 lb. Determine the safe load in pounds of a beam made from the same material if the beam is 60 in. long.
A. 2,268 lb B. 1,417.5 lb C. 74 lb D. 420 lb
Find all x-values for which the given expression is undefined.
A. - 
, 
B. 
, 
C. 
, 
D. 
, 
Write the percent as a decimal.100%
A. 1 B. 0.1 C. 10 D. 1.01
Solve the problem.Denise took a trip. She drove for x hours at 30 miles per hour. Then she cycled for y hours at 10 miles per hour. Write an equation that shows the possible combinations of hours if the total distance that she traveled was 
A. 30x + 10y = 210 B. 300 + xy = 210 C. 10x + 30y = 210 D. (30 + x) + (10 + y) = 210