3 d5 3. A baseball bat workshop makes two models of bats, the "slugger" and the whacker. Each slugger requires four minutes of lathe work, and one minute varnishing. Each whacker requires five minutes of lathe work and 45 seconds varnishing. Each day, the combined production cannot exceed 980 bats. The woodworking shop operates 16 hours/day, with one room containing five lathes, and one varnishing room. Each of the five lathes is available for 55 minutes each hour, and the varnishing room is available for 50 minutes each hour. Each slugger contributes 5 to profit, and each whacker contributes 6. The workshop wishes to determine how many sluggers and whackers should be made each day. a) Formulate a Linear Programming model to maximize profits for this problem. Clearly define and label the decision variables, the objective function and the constraints. (10 marks) To answer parts (b)-(e) refer to the problem description given above and the following sensitivity table that was obtained by implementing the LP model in Excel Solver.

3. A baseball bat workshop makes two models of bats, the "slugger" and the iwhacker? Each slugger requires four minutes of lathe work, and one minute vamishing. Each whacker requires five minutes of lathe work and 45 seconds vamishing. Each day, the combined production cannot exceed 980 bats. The woodworking shop operates 16 hours/day, with one room containing five lathes, and one vamishing room. Each of the five lathes is available for 55 minutes each hour, and the varnishing room is available for 50 minutes each hour. Each slugger contributes 5 to profit, and each whacker contributes 6. The workshop wishes to determine how many sluggers and whackers should be made each day. a) Formulale a Linear Programming model to maximize profits for this problem. Cleanty define and label the decision variables, the objective function and the constraints. Iswer parts (b) - (e) reter to the problem descript Ig sensitivity lable that was obtained by impcription given above and the ver