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All sacks of sugar have the same weight. All sacks of flour also have the same weight, but not necessarily the same as the weight of the sacks of sugar. Suppose that two sacks of sugar together with three sacks of flour weigh no more than 40 pounds, and that the weight of a sack of flour is no more than 6 pounds more than the weight of two sacks of sugar. What is the largest possible weight (in pounds) of a sack of flour?

Aug 7, 2020

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Let x  be  the weight  of a sack of sugar

Let y  be  the weight  of  a sack of flour

We  have  these inequalities

2x + 3y ≤  40

y - 2x ≤ 6

See  the  graph here  :  https://www.desmos.com/calculator/rlbzlpxzgz

The    max  weight  of a sack of flour  occurs  at the "corner point" of  the  feasible region  =   11.25  lbs

Aug 7, 2020
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thanks for helping but unforunatly thats incorrect

Aug 9, 2020
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Unfortunately, Guest plotted the second inequality as y - 2x <= 5 instead of y - 2x <= 6.

However, if you change that on the Desmos graph you will be able to obtain the correct answer.

Alan  Aug 9, 2020