Assume that a college student spends all of her income on macaroni and hamburger.During exam week,the price of a box of macaroni is $1.50 and a pound of hamburger costs $4.00.If she has $41 of income,what could she choose to consume

Question

Quizplus · Accepted Answer

We can set up the following system of equations:
1.5x + 4y = 41 (total income spent on macaroni and hamburger)
x ≥ 0, y ≥ 0 (cannot have negative quantities)
To maximize consumption, we want to choose the option that uses up all of her income. We can test each option:
Choice A: 5(1.5) + 4(4) = 23, not using all income
Choice B: 7(1.5) + 9(4) = 41.5, using all income
Choice C: 11(1.5) + 6(4) = 33, not using all income
Choice D: 15(1.5) + 5(4) = 37.5, not using all income
Therefore, the best choice is B as it uses up all of her income.

Assume That a College Student Spends All of Her Income