In a job shop, effective capacity is only 50 percent of design capacity, and actual output is 80 percent

QUESTION:

In a job shop, effective capacity is only 50 percent of design capacity, and actual output is 80 percent of effective output. What design capacity would be needed to achieve an actual output of eight jobs per week?

ANSWER:

Given:

Effective capacity = .50 (Design Capacity)

Actual output = .80 (Effective capacity)

Actual output desired = 8 jobs per week

By substitution:

Actual output = (.80) x [(.50)(Design capacity)]

Actual output = (.40)(Design capacity)

Re-arranging terms:

https://lh6.googleusercontent.com/HYzXE25rCmb30WqCkXS9Jy8hNGkVlpFHu9bX70cSRFM1AzMtf63V8tsi8qrNFSEceYL_Ea19TttEXCfFO0SUN5fmJmaHpUCYBoW8te4Qe_lYjZGVcK4g8696OQu1hJAzFYy4JSWvLLpSDA9G9g

By substitution (Actual output desired = 8 jobs from above):

https://lh3.googleusercontent.com/LauCF6bE9Icy5BmKdjXqsrx1Fqf4kb0GhtLVhzPuRTPQpINptmIp5aNASy44_s6ikflJwWnyONF_42fGwSnvIa5yYTM8DhouXLa26mL0gpJPkRv1-zO1fkaVkPWuPFBHQlay2uRj5RKLmxr7Ag