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You want to develop a formula for estimating how long it takes to mow a lawn for

ID: 1843527 • Letter: Y

Question

You want to develop a formula for estimating how long it takes to mow a lawn for your lawn-mowing personal business. The lawn mower cuts a swath that is 18in wide. One turn is required at the end of each swath. On average, 600ft^2 of lawn clippings fill one bushel. The time elements required for each activity are given in the table below. Construct a formula to estimate time for cutting rectangular lawns of various dimensions. Compute the time needed to cut a lawn that is 75ft by 100ft. Is it more economical to cut swaths in the long dimension or short dimension? Why? What can you suggest to minimize the time required?

Explanation / Answer

b.

total perimeter of rectangle = 2(75+100)=350ft

area of rectangle=75*100=7500

no of bushel required=7500/600

rectangle has 4 corners

total time taken:

7.5+3.5+.005*350+.20*4+.010*7500+3*75/6+6=88.55 min

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