"Jimmy decides to mow lawns to earn money. The initial cost of his lawn mower is...."

MrPipan97

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"Jimmy decides to mow lawns to earn money. The initial cost of his lawn mower is...."

The questions goes like this:

1. Jimmy decides to mow lawns to earn money. The initial cost of his lawn mower is $250. Gasoline and maintenance costs are $4 per lawn.

a. Formulate a function C(x) for the total cost of mowing x lawns.

Solution:
Total cost of mowing = 250 +4
= 254
Function c(x) = 254x



b. Jimmy determines that the total-profit function for the lawn mowing business is given by P(x) = 9x - 250 Find the function for the total revenue from mowing x lawns. How much did Jimmy charge per lawn?

c. How many lawns must Jimmy mow before he begins making a profit?


Is 2.a correct and can someone help to solve this.Quite stucked right now:sad:
 
Well, no, your solution to part a is not correct. Your model says that it costs Jimmy $254 per lawn. So, if Jimmy mows one lawn, it will cost him $254. If he mows two lawns, it will cost him $508. Does that seem correct? If Jimmy mows a second lawn, does he need to buy a second lawn mower, or can he use the one he already has?

For part b, you might find it helpful to consider the fact that profit = revenue - cost. For part c, think about what it means for Jimmy to make a profit. What is the minimum value of x that will result in Jimmy making a profit?
 
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