Solve the 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. 132 bottles of white, 14 bottles of red
B. 42 bottles of white, 59 bottles of red
C. 14 bottles of white, 132 bottles of red
D. 76 bottles of white, 42 bottles of red
Answer: A
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A. s1/3(15 - 7s4/7) B. s1/7(15s4/7 - 74/7) C. s-3/7(15s4/7 - 7s) D. s-3/7(15s4/7 - 7)
Solve the problem.For what value of r does the infinite series 1 + 5r + 3r2 + 5r3 + r4 + 5r5 + 3r6 + 5r7 + r8 + ... converge?
A. |r| < 4
B. |r| < 1
C. |r| < 
D. |r| < 
Use identities to find the exact value of the function for the given value.sin ? = and ? is in quadrant II; Find tan ?.
A. -
B.
C. -
D. -
The demand equation for the Roland portable hair dryer is given by 
, where x (measured in units of a hundred) is the quantity demanded per week and p is the unit price in dollars. When is the demand unitary? (Hint: Solve 
for p).
?
A. 
B. 
C. 
D. 
E. 