A self-employed friend who operates a lawn mowing service wants to develop a formula for estimating...

  

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A self-employed friend who operates a lawn mowing service wants to develop a formula for estimating how much time it takes to mow a lawn. The times for elements required for each lawn-mowing job are given in the table below. The lawn mower cuts a swath that is 18 in. wide. One turn is required at the end of each swath. On average, 600 sq ft of lawn clip- pings fill one bushel. (a) Construct a formula that will give the estimated time for cutting rectangular lawns of various dimensions. (b) Use the formula to compute the allowed time for cutting and trimming a lot that is 75 ft by 100 ft. (c) Is it more economical to cut the swath in the long dimension or the short dimension? Why? (d) What methods improvements can you recommend to reduce the estimated time to mow a lawn? Work Element Description Unload mower and other equipment from truck Lubricate equipment (once per 5 jobs) Cutting grass Turn mower for return cut Rake grass clippings Gather, carry, and dump clippings in truck Return equipment to truck and load Element Time 7.5 min/job 3.5 min/job 0.005 min/linear ft 0.20 min/turn 0.010 min/sq ft 3.0 min/bushel 6.0 min/job autop A self-employed friend who operates a lawn mowing service wants to develop a formula for estimating how much time it takes to mow a lawn. The times for elements required for each lawn-mowing job are given in the table below. The lawn mower cuts a swath that is 18 in. wide. One turn is required at the end of each swath. On average, 600 sq ft of lawn clip- pings fill one bushel. (a) Construct a formula that will give the estimated time for cutting rectangular lawns of various dimensions. (b) Use the formula to compute the allowed time for cutting and trimming a lot that is 75 ft by 100 ft. (c) Is it more economical to cut the swath in the long dimension or the short dimension? Why? (d) What methods improvements can you recommend to reduce the estimated time to mow a lawn? Work Element Description Unload mower and other equipment from truck Lubricate equipment (once per 5 jobs) Cutting grass Turn mower for return cut Rake grass clippings Gather, carry, and dump clippings in truck Return equipment to truck and load Element Time 7.5 min/job 3.5 min/job 0.005 min/linear ft 0.20 min/turn 0.010 min/sq ft 3.0 min/bushel 6.0 min/job autop

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