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 .00, while a bottle of the red wine sells for .00. How many bottles of each type should the vineyard produce in order to maximize gross sales?
(a) 132 bottles of white and 14 bottles of red
(b) 76 bottles of white and 42 bottles of red
(c) 14 bottles of white and 132 bottles of red
(d) 42 bottles of white and 59 bottles of red
Tagged with: bottle of red wine • grapes • gross sales • processing time • white wine • wines
Filed under: All Things Wine
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The answer is A. The question is simple. Let us assume that we produce w number of white wine and r number of red wine.
Since maximum hours to produce these numbers is = 160 hours
=>1*w + 2*r = 160 hours
=> w = (160 - 2*r) numbers
and maximum qunatity of grapes = 2198 pounds
=> 14 *w + 25*r = 2198
=> 14(160 -2*r) + 25*r = 2198
=> 2240 - 28*r + 25*r = 2198
=> 3*r = 2240 -2198 = 42
=> r = 42/3 = 14
=>w = 160 - 2*14 = 132
White bottles = 132, Red bottles = 14
A
do you need the working??!
The answer is C
The only thing you really need to answer this question is the fact that a bottle of white sells for 11 and a bottle of red sells for 20. So just plug those values in for all the multiple choice answers to see how much those bottle would add up to in total dollars. A would be $1732, B is $1676, C is $2794, and D is $1642. So they make the most with choice C