A company produces two products P1, and P2 at the rate of 7200, and 8900 units...

 

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A company produces two products P1, and P2 at the rate of 7200, and 8900 units per month. Three components C1, C2, and C3 are used in making a unit of each of the products. The component requirements for each unit of the product are given in Table 1. Table 1: Unit Requirements C3 C1 C2 P1 4 2 P2 3. The time required (in minutes) to make a unit of each of these components on the two machines is given in Table 2. Table 2: Time in Minutes per Unit C2 6.4 4.8 C1 6.9 C3 6.2 M1 M2 The machines are available for 22 days, 8 hours a day, in a month to do production work. Currently, there are 50 machines of type M1, and 13 machines of type M2 available in the workshop. Machines of type M2 are used to produce only C2 items. Machines of type M1 can be used to produce any of the three components. Do we have enough capacity to produce all the components in a month? (Hint: First, calculate the required rate of production for each of the components. Determine the maximum number of C2 items that can be produced on the 13 machines of type M2. Then calculate the number of hours and machines of type M1 needed to produce the remaining number of C2 items, if any, and all of C1 as well as C3 items.) A company produces two products P1, and P2 at the rate of 7200, and 8900 units per month. Three components C1, C2, and C3 are used in making a unit of each of the products. The component requirements for each unit of the product are given in Table 1. Table 1: Unit Requirements C3 C1 C2 P1 4 2 P2 3. The time required (in minutes) to make a unit of each of these components on the two machines is given in Table 2. Table 2: Time in Minutes per Unit C2 6.4 4.8 C1 6.9 C3 6.2 M1 M2 The machines are available for 22 days, 8 hours a day, in a month to do production work. Currently, there are 50 machines of type M1, and 13 machines of type M2 available in the workshop. Machines of type M2 are used to produce only C2 items. Machines of type M1 can be used to produce any of the three components. Do we have enough capacity to produce all the components in a month? (Hint: First, calculate the required rate of production for each of the components. Determine the maximum number of C2 items that can be produced on the 13 machines of type M2. Then calculate the number of hours and machines of type M1 needed to produce the remaining number of C2 items, if any, and all of C1 as well as C3 items.)

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Units of P1 per month 7200 Units of P2 per month 8900 Components C1 requi... View the full answer