A steel product is manufactured by starting with raw material
A steel product is manufactured by starting with raw material ( carbon steel wire) and then processing it sequentially through five operations using machines A to E, respectively ( see table below). This is the only use that the five machines are put to. The hourly rates for each machine are given in the table.

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Consider the following questions.
a. What is the maximum output per hour of the steel product?
b. By how much would the output be improved if the output of B was increased to 90 per hour?
c. By how much would the output be improved if the output for C was increased to 50 per hour?
d. By how much would the output be improved if the output for C was increased to 70 per hour?
e. What is the effect on the system if machine A can only manage an output of 90 in one hour?
f. What is the effect on the system if machine C can only manage an output of 30 in one hour?
g. What is the effect on the system if machine B is allowed to drop to an output of 30 in one hour?

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