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At Tio Taco Town a taco contains 2 oz of ground beef and 1 oz of chopped tomatoes. A burrito contains 1 oz. of ground beef and 3 oz. of chopped tomatoes. Near closing time the cook discovers that they only have 22 oz. of ground beef and 36 oz. of chopped tomatoes left. The manager directs the cook to use the available resources to maximize their revenue for the remainder of the shift. If a taco sells for $1.20 and a burrito sells for $1.95, then how many of each should they make to maximize their revenue? (Let x identify the tacos and y the burritos.) Write the system of inequalities that describe this problem and graph the solution set. Show your work for maximizing the revenue

2007-12-13 10:48:56 · 1 answers · asked by Anonymous in Science & Mathematics Mathematics

1 answers

Total revenue = (1.2)x + (1.95)y

The beef required is (2)x + (1)Y and this must be less than or equal to the 22 oz that are left.

Similarly for the inequality describing the tomato situation.

And we know that both x and y have to be greater than or equal to 0.

That gives you four lines to draw (x = 0, y = 0, 2x + y = 22, and the equation for the tomatoes.)

The answer is at one of the corners (and you can ignore the (0, 0) case :-)

http://people.hofstra.edu/Stefan_Waner/Realworld/Summary4.html

2007-12-15 18:02:41 · answer #1 · answered by simplicitus 7 · 0 0

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