A company produces three products P1, P2, and P3 at the rate of 11700, 14600, an
ID: 3179559 • Letter: A
Question
A company produces three products P1, P2, and P3 at the rate of 11700, 14600, and 12900 units per month respectively. Four components C1, C2, C3, and C4 are used in making a unit of each of the products. The components for each unit of the product are given in Table a. the time required (in minutes) to make a unit of each of these components on the three machines is given in Table B. The machines are available for 22 days, 8 hours a day, in a month to do production work. Currently, there are 37 machines of type M1, 24 machines of type M2, and 68 machines of type M3 available in the workshop. Machines of type M1 are used to produce only C2 items, machines of type M2 are used to produce only C4 items. Machines of type M3 can be used to produce any of the four components. Do we have enough capacity to produce all the components in a month? The number of CI items needed per month is:____ The number of C2 items needed per month is:____ The number of C3 items needed per month is:____ The number of C4 items needed per month is:____ The maximum number of C2 items produced on the 37 machines of type M1 per month is: The maximum number of C4 items produced on the 24 machines of M2 per month is: Can all the C2, terns needed per month can be produced on the available type M1 machines? Can all the C4 items needed per month can be produced on the available type M2 machines? The number of hours (rounded-up) needed on machines of type M3 to produce the remaining number of C2 and C4 items, if any, and all of C1 and C3, terns is: The number of machines of type M3 needed to produce the remaining number of C2 and C4 items, if any, and all of C1 and C3 items is:Explanation / Answer
1,2,3,4 - Last column gives the number of c1,c2, c3, c4 required
5.
max c2 capacity in 37 m1 is 10560/6.4 *37 i.e. 61050.
6. max c4 capacity in 24m2 is 10560/7.2 * 24 i.e. 35200
7. total C2 requirement is 42100, capactiy of M1 is 61050 units. So we can produce all of c2 in m1
8. total C4 requirement is 62100, capacity of M2 is 35200. so we CANNOT produce all of c4 in m2
9.
Total minutes in m3 required is 37638
10. capacity of 1 m3 for C4 IS
=22*8*60/4.3 = 2455
no of m3 reqd for remaining 29600 c4 is 29600/2455 = 12.1 i.e 13
capacity of 1 m3 for c1 is
=22*60*8/6.5 = 1624
no of m3 reqd for 153900 c1 is 153900/1624 = 94.7 i.e 95
capacity of 1m3 for c3 is
22*8*60/7.8 = 1353
no of m3 reqd for 55200 c1 is 55200/1353 = 40.8 i.e 41
total components required p1 p2 p3 C1 58500 43800 51600 153,900 C2 0 29200 12900 42,100 C3 11700 43800 0 55,500 C4 23400 0 38700 62,100Related Questions
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