# Science:Math Exam Resources/Courses/MATH104/December 2012/Question 03

MATH104 December 2012
Other MATH104 Exams

### Question 03

A steel company, ABC steel, manufactures nuts and bolts. When x nuts are produced, they can be sold for

${\displaystyle \displaystyle {}-3x+500}$

dollars each. When y bolts are produced, they can be sold for

${\displaystyle \displaystyle {}-y+300}$

dollars each.

Assume that nuts and bolts weigh 0.5kg each. How many nuts and how many bolts must be produced to maximize the revenue from 100kg of steel? Justify your answer.

 Make sure you understand the problem fully: What is the question asking you to do? Are there specific conditions or constraints that you should take note of? How will you know if your answer is correct from your work only? Can you rephrase the question in your own words in a way that makes sense to you? If you are stuck, check the hints below. Read the first one and consider it for a while. Does it give you a new idea on how to approach the problem? If so, try it! If after a while you are still stuck, go for the next hint.

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