A process produces two types of products A and B. Product A is done in batches of 1000 units. It involves a setup time of 2 hours and a run time of 75 seconds. Product B is done in batches of 500 units and involves a setup time of 1 hour and a run time of 45 seconds.

How many units can this process produce in a week of 40 hours, if:

only product A is produced? (5 pts)

only product B is produced? (5 pts)

A and B are produced in a mix of 25% A and 75% B? (10 pts)

Only product A is produced

40 hours= 40*60*60 = 144000 seconds

One product A requires 75 seconds to manufacture

Setup time= 2 hours

Batches= 1000 units

To produce one batch of A = 1000*75sec = 75000 seconds

Setup time lost = 2 hours = 7200 seconds

Remaining seconds = 144000-(75000+7200) = 61800 seconds

Product A manufactured in 61800 sec = 824

Total Product A manufactured are = 1824 units

2. Only product B is produced

40 hours= 40*60*60 = 144000 seconds

One product B requires 45 seconds to manufacture

Setup time= 1 hour

Batches= 500 units

To produce one batch of A = 500*45sec = 22500 seconds

Setup time lost = 6 hours = 6*7200 seconds= 43200sec

Remaining seconds = 144000-(22500+43200) = 78300 seconds

Product A manufactured in 78300 sec = 1740

Total Product A manufactured are = 500+1740= 2240 units

3. A and B are produced in a mix of 25% A and 75% B

Considering loss of 3 hours setup time, 37 hours is left to produce

A is manufactured for = 25% of 37 hours = 9.25 hours = 33300 hours

B is manufactured for = 75% of 37 hours = 27.75 hours = 99900 hours

Production of A = 33300/75 sec= 444 units

Production of B = 99900/45 sec= 2220 units

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Explanation:

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