A company has three tractors that are used for cutting grass. Each is of a different size and has different capabilities

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A Company Has Three Tractors That Are Used For Cutting Grass Each Is Of A Different Size And Has Different Capabilities 1 (42.54 KiB) Viewed 33 times

A company has three tractors that are used for cutting grass. Each is of a different size and has different capabilities. The largest tractor cuts fairways and other large areas very efficiently, but has trouble around bunkers and trees. The smallest tractor cuts very quickly around small objects but takes more time on the open expanses of grass. The middle-sized tractor operates as a compromise between the other two. The 18-hole golf course is divided into three parts for cutting purposes: holes 1-6; holes 7-12; and holes 13-18. The company wants to determine which tractor should be assigned to which part of the course so as to minimize total cutting time. The table shows cutting times (in minutes) for the tractors in each of the three sections of the golf course: Section of Course Tractor 1.6 7:12 13:18 Large 270 473 512 Medium 386 395 483 Small 456 409 478 Formulate this assignment problem as an LP. Solve this his assignment problem as an LP using Excel and write the optimal assignments.