Ch. 4 Homework Calndato Problem 4-17 (Algorithmic) Frandec Compary manulactures, assembles, and rebuilds material handing equipment used in warehouses and distribution centers One product, caled a Liftmaster, and a metal strap. Frandec's production schedule calls for 4000 Lftmasters to be made next month, Frandec purchases the motors from an outside suppler bu the frames, supports, and straps may be either manufactured by ther compeny or prchased from an outside suppler, Manufacturang and purchase costs per unit are shown sassembled from four components: a frame, a motor, two supports Component Manufacturing Cost Purchase Cost $32.00 $45.00 Frame s9.50 $13.00 Support 56.50 $750 Strap Three departments are ielved in the production of these cemponents. The time (n mutes per unit) reoured to precess each cemponent in esch department and the available capacty (n hours) for the three departments are as follows Department shaping Milling Cutting Component Frome 25 1.9 29 13 12 Support 15 0.8 Strap 640 390 Capacity (hours) 330 Formulate and solve a inear programng model for this make or buy applcation How many of each omeonent should be manectured and how many should be prchesed Le M unter of frames mandactured rP-number ef frames puechased SM-number of supports manufectured SP-eumber of spports gurchased Previous Noxt 2 more Check My Work unes remanngs Oeck y Wa Ch. Homework SM-number of supports manufactured SP-number of supperts parchased namber of strags manfectured TH TP number of straps purchased SP. TM TP Mr SM TH 2,9FM 1.55M FM 1.STM FM TIM H, FR SH, sP TH TP f requred, round your ansewers to the rearest whole number Manufacture Purchase Frames Supports Straps b. What is the total cost of the mardacturing and purchasing plan? When required, reund your answer to the nearest dollan Next Previous 2 more Check ly Work uses semanngs Check Hy Work war Caloulator Supports Straps b. What is the total cost of the manufacturing and purchasing plan? When requred, round your answer to the nearest doilar C How many hours of production time are used in each department? If requred, round your answer to two decimal places etours of production Department ed Cutting hours Ming hours Shaping hours d. How much should Frandec be wilea to pay for an additional hour of time in the shapino department? if required, round your ansmer to two decimal places. becaune there is hours e. Another manufacturer has offered to sell frames to Frandec for $39 each, Could Frandec improve its position by pursaing this opportunity? Why or why not? tf required, round your answers to the nearest cent. The reduced cost is Because the current purchase price is S which mean that the solbon may be improved d the cost is $ or below Check My Work 2 ore Check Mly Work uses remainings Previous Next Problem 4-17 (Algorithmic) Frandec Compan manufactures, assembles, and rebuilds material handling equipment uned in warehouses and distribution centers. One product, called a Liftmaster, is assembled from four components: a frame, a motor, two supports, and a metal strap, Frandec's production schedule calls for 4000 Liftmasters to be made next month, Frandec quechases the motors from an outside supplier, but the frames, supports, and straps may be either manufactured by the company or parchased from an outside supplier. Marufacturing and purchase cests per unit are shown. Manudacturing Cost Purchase Cost omponent $32.00 $45.00 Frame $9.50 $13.00 Support $6.50 $7.50 Strap Three departments are involved in the production of these components. The time (n minutes per unit) required to precess each component in each department and the available capacity (in hours) for the three departments are as follows: Department Milling Shaping Cutting Component 2.5 2.9 Frame 2 1.5 1.2 Support 1.5 0.8 Strap 640 390 330 Capacity (hours) a. Formulate and solve a inear programming medel for this make or buy application How many of each component should be manafactured and how many should be purchased Let umber of frames marufacturedi FM P number of frames purchased number of suports manufactured SM SP number of supports purchased SM number of supports manufactured number of supports purchased SP TM number of straps manufactured number of straps purchased TP TM+ SM+ TP EP+ SP + FM+ Min s.t. TM SM 2.9FM + +1.5SM FM +1.5TM SM FM FP FM SM SP TP 2 TM FM, FP, SM, SP, TM, TP 2 0 If required, round your answers to the nearest whole number Manufacture Purchase Frames Supports Straps b. What is the total cost of the manufacturing and purchasing plan? When required, round your answer to the nearest dollar Supports Straps b. What is the total cost of the manufacturing and purchasing plan? When required, round your answer to the nearest dollar, c How many hours of production time are used in each department? If required, round your answer to two decimal places DepartmeneHours of production time used Cutting hours Milling hours Shaping hours d. How much should Frandec be willing to pay for an additional hour of time in the shaping department? If required, round your answer to two decimal places. because there is of hours e. Another manufacturer has offered to sell frames to Frandec for $39 each. Could Frandec impreve its position by pursuing this opportunity? Why or why not? If required, round your answers to the nearest cent Because the current purchase price is $ which means that the solution may be improved if the cost is $ The reduced cost is $ or below Ch. 4 Homework Calndato Problem 4-17 (Algorithmic) Frandec Compary manulactures, assembles, and rebuilds material handing equipment used in warehouses and distribution centers One product, caled a Liftmaster, and a metal strap. Frandec's production schedule calls for 4000 Lftmasters to be made next month, Frandec purchases the motors from an outside suppler bu the frames, supports, and straps may be either manufactured by ther compeny or prchased from an outside suppler, Manufacturang and purchase costs per unit are shown sassembled from four components: a frame, a motor, two supports Component Manufacturing Cost Purchase Cost $32.00 $45.00 Frame s9.50 $13.00 Support 56.50 $750 Strap Three departments are ielved in the production of these cemponents. The time (n mutes per unit) reoured to precess each cemponent in esch department and the available capacty (n hours) for the three departments are as follows Department shaping Milling Cutting Component Frome 25 1.9 29 13 12 Support 15 0.8 Strap 640 390 Capacity (hours) 330 Formulate and solve a inear programng model for this make or buy applcation How many of each omeonent should be manectured and how many should be prchesed Le M unter of frames mandactured rP-number ef frames puechased SM-number of supports manufectured SP-eumber of spports gurchased Previous Noxt 2 more Check My Work unes remanngs Oeck y Wa Ch. Homework SM-number of supports manufactured SP-number of supperts parchased namber of strags manfectured TH TP number of straps purchased SP. TM TP Mr SM TH 2,9FM 1.55M FM 1.STM FM TIM H, FR SH, sP TH TP f requred, round your ansewers to the rearest whole number Manufacture Purchase Frames Supports Straps b. What is the total cost of the mardacturing and purchasing plan? When required, reund your answer to the nearest dollan Next Previous 2 more Check ly Work uses semanngs Check Hy Work war Caloulator Supports Straps b. What is the total cost of the manufacturing and purchasing plan? When requred, round your answer to the nearest doilar C How many hours of production time are used in each department? If requred, round your answer to two decimal places etours of production Department ed Cutting hours Ming hours Shaping hours d. How much should Frandec be wilea to pay for an additional hour of time in the shapino department? if required, round your ansmer to two decimal places. becaune there is hours e. Another manufacturer has offered to sell frames to Frandec for $39 each, Could Frandec improve its position by pursaing this opportunity? Why or why not? tf required, round your answers to the nearest cent. The reduced cost is Because the current purchase price is S which mean that the solbon may be improved d the cost is $ or below Check My Work 2 ore Check Mly Work uses remainings Previous Next Problem 4-17 (Algorithmic) Frandec Compan manufactures, assembles, and rebuilds material handling equipment uned in warehouses and distribution centers. One product, called a Liftmaster, is assembled from four components: a frame, a motor, two supports, and a metal strap, Frandec's production schedule calls for 4000 Liftmasters to be made next month, Frandec quechases the motors from an outside supplier, but the frames, supports, and straps may be either manufactured by the company or parchased from an outside supplier. Marufacturing and purchase cests per unit are shown. Manudacturing Cost Purchase Cost omponent $32.00 $45.00 Frame $9.50 $13.00 Support $6.50 $7.50 Strap Three departments are involved in the production of these components. The time (n minutes per unit) required to precess each component in each department and the available capacity (in hours) for the three departments are as follows: Department Milling Shaping Cutting Component 2.5 2.9 Frame 2 1.5 1.2 Support 1.5 0.8 Strap 640 390 330 Capacity (hours) a. Formulate and solve a inear programming medel for this make or buy application How many of each component should be manafactured and how many should be purchased Let umber of frames marufacturedi FM P number of frames purchased number of suports manufactured SM SP number of supports purchased SM number of supports manufactured number of supports purchased SP TM number of straps manufactured number of straps purchased TP TM+ SM+ TP EP+ SP + FM+ Min s.t. TM SM 2.9FM + +1.5SM FM +1.5TM SM FM FP FM SM SP TP 2 TM FM, FP, SM, SP, TM, TP 2 0 If required, round your answers to the nearest whole number Manufacture Purchase Frames Supports Straps b. What is the total cost of the manufacturing and purchasing plan? When required, round your answer to the nearest dollar Supports Straps b. What is the total cost of the manufacturing and purchasing plan? When required, round your answer to the nearest dollar, c How many hours of production time are used in each department? If required, round your answer to two decimal places DepartmeneHours of production time used Cutting hours Milling hours Shaping hours d. How much should Frandec be willing to pay for an additional hour of time in the shaping department? If required, round your answer to two decimal places. because there is of hours e. Another manufacturer has offered to sell frames to Frandec for $39 each. Could Frandec impreve its position by pursuing this opportunity? Why or why not? If required, round your answers to the nearest cent Because the current purchase price is $ which means that the solution may be improved if the cost is $ The reduced cost is $ or below