Academic Integrity: tutoring, explanations, and feedback — we don’t complete graded work or submit on a student’s behalf.

number 8 The Biology department is deciding whether to purchase or rent a photoc

ID: 3120871 • Letter: N

Question


number 8

The Biology department is deciding whether to purchase or rent a photocopier. If they purchase a photocopier then they will pay a monthly maintenance fee and each copy would cost 3 cents. If they rent a photocopier then the maintenance cost is included in the rental and each copy will cost 6 cents. The office manager presents the model P(x) = 5600 + 25x + 180x for the monthly cost if they purchase a copier and the model R(x) = 85x + 360x for the monthly cost if they rent a copier. Ask and answer at least three mathematical questions about this scenario.

Explanation / Answer

1) Over long term which one is beneficial;

given P(x) = 5600+25x + 180x;

R (x) = 85x+360x;

so we have P(x) = 5600+205x;

R(x) = 445x;

at x > 24 purchasing will be beneficial;

b) when is it better to rent;

when x< 24 its better to rent than purchase;

c) are Above given equation justified for all the times

No after the purchase of printer fixed amount 5600 will not be applicable after second month;