AlwaysRain Irrigation, Inc, would like to determine capacity requirements for th

Question

AlwaysRain Irrigation, Inc, would like to determine capacity requirements for the next four years. Currently two production lines are in place for making bronze and plastic sprinkders. Three types of spriniders are available in both bronze and plastic: 90-degree nozzle sprinklers, 180-degree nozzle sprinklers, and 360-degree nozzle sprinklers. Management has forecast demand for the next four years as follows 40N 00091 58 Plastic 90 Plastic 180 Plastic 360 Bronze 90 Bronze 180 Bronze 360 12 50 17 58 58 16 64 10 16 24 Both production lines can produce all the different types of nozzles. The bronze machines needed for the bronze sprinklers require two operators and can produce up to 19,000 sprinklers. The plastic irjection molding machine needed for the plastic sprinklers requires four operators and can produce up to 320,000 sprinklers. Three bronze machines and only one inection molding machine are valable. What are the capacity requirements for the next four yoars? (Assume that there is no learming) (Enter the demand values in thousands. Round your answers to 2 decimal places.) Demand for plastio sprinklers Percentage of capacity used Machine requirements Labor requirements Bronze Demand for bronze sprinklers Percentage of capacity used Machine requirements

Explanation / Answer

Plastic Available capacity per year = 1 plastics machine x 320,000 = 320,000 Year 1:   96/320 = .3 for plastics machine = .3 Year 2: 119/320 = .372 for plastics machine = .372 Year 3: 138/320 = .431 for plastics machine = .431 Year 4: 137/320 = .408 for plastics machine = .408 Labor requirement per year = 4 per plastics machine Year 1: .3 x 4 = 1.2operators Year 2: .372 x 4 = 1.5 operators Year 3: .431 x 4 = 1.724 operators Year 4: .408 x 4 = 21.63 operators Plastic Year 1 Year 2 Year 3 Year 4 Demand for plastic sprinklers 34+12+50=96 44+17+58=119 58+16+64=138 56+15+66=137 Percentage of capacity used 48.50% 57.50% 68.00% 70.50% Machine requirements 0.485 0.575 0.68 0.705 Labor requirements 1.94 2.3 2.72 2.82 Bronze Available capacity per year = 3 bronze machines x 12000 = 36,000 Year 1: 21/36 = .583 x 3 bronze machines = 1.75 Year 2: 24/36 = .667 x 3 bronze machines = 2.00 Year 3: 29/36 = .806 x 3 bronze machines = 2.42 Year 4: 34/36 = .944 x 3 bronze machines = 2.83 Labor requirement per year = 2 operators per bronze machine Year 1: 1.75 x 2 = 3.5 operators Year 2: 2.0 x 2 = 4 operators Year 3: 2.42 x 2 = 4.84 operators Year 4: 2.83 x 2 = 5.66 operators Bronze Year 1 Year 2 Year 3 Year 4 Demand for bronze sprinklers 21 24 29 34 Percentage of capacity used 58.30% 66.70% 80.60% 94.40% Machine requirements 1.75 2 2.42 2.83 Labor requirements 3.5 4 4.84 5.66

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