Solve the linear programming problem.A vineyard produces two special wines, a white and a red. A bottle of the white wine requires 14 pounds of grapes and 1 hour of processing time. A bottle of red wine requires 25 pounds of grapes and 2 hours of processing time. The vineyard has on hand 2,198 pounds of grapes and can allot 160 hours of processing time to the production of these wines. A bottle of the white wine sells for $11.00, while a bottle of the red wine sells for $20.00. How many bottles of each type should the vineyard produce in order to maximize gross sales?

A. 42 bottles of white and 59 bottles of red
B. 132 bottles of white and 14 bottles of red
C. 76 bottles of white and 42 bottles of red
D. 14 bottles of white and 132 bottles of red


Answer: B

Mathematics

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Solve the problem.A job pays a salary of 35,000 the first year. During the next 10 years, the salary increases by 3% each year. What is the salary for the 11th year? What is the total salary over the 11-year period? (Round to the nearest cent.)

A. $47,037.07; $401,235.78 B. $47,037.07; $448,272.85 C. $48,448.19; $401,269.11 D. $48,448.19; $496,721.03

Mathematics

Find an upper bound for the magnitude |E| of the error in the approximation f(x, y) ? L(x, y) at the given point over the given region R. at ; R: |x| ? 0.1, |y| ? 0.1, |z| ? 0.1

A. |E| ? 9.8821 B. |E| ? 11.4193 C. |E| ? 9.2233 D. |E| ? 10.5409

Mathematics

Graph the function.f(x) = x2 + 

A.

B.

C.

D.

Mathematics

Find the product.(9r - 10)(9r + 10)

A. 81r2 - 100 B. 81r2 - 180r - 100 C. 81 + 180r - 100r2 D. 9r2 - 100

Mathematics