Solve word problem

Question

Computer mice sell for $6 per mouse and keyboards sell for $18 per keyboard to make. Assume that the company wants to bring in at least $24000 after selling both of them. The cost for making can be represented by C=.001m^2+.003k^2+1000, where m is number of computer mice made and sold and k is the total number of keyboards made and sold.

Find an equation that represents the total number of mice made in terms of the number of keyboards and the minimum revenue brought in.

Answer 1

Hello Yamileth. The question you propose is a little ambiguous and not particularly well written, but I should be able to provide some useful information in response.

The question asks for "an equation that represents the total number of mice made in terms of the number of keyboards". The question also states "the company wants to bring in at least $24,000 after selling both of them". This implies that for each keyboard that is sold, one mouse is sold as well, so m=k.

Instead, the intention of the question is may be to find an equation of mice made in terms of keyboards made so that the revenue is $24,000. Please note that the term revenue is defined as money brought in from the sale of goods. It is not the same as profit.

So, if mice sell for $6 and keyboards sell for $18, and we want to hit a revenue target of $24,000, then

6 * m + 18 * k = 24,000

6 * m = 24,000 - 18 * k

m = 4,000 - 3 * k

In this equation, if the assumption that 1 mouse is made and sold for each keyboard that is made and sold is applied, then it would take 1,000 mice and 1,000 keyboards to reach that revenue goal:

m = 4,000 - 3 * m

4m = 4,000

m = 1,000

On the other hand, if the question is trying to find a profit amount (revenue minus cost), it isn't written sufficiently clear enough.