Question $5$:

An electronics firm bas just won a contract to manufacture two products $($ A and $B)$ for the government. The

firm has three departments $-$ design, manufacture, and test. The design department has finished its work, and

now it is up to manufacturing to actually start production.

The contract stipulates that $1,000A\text{'}$s and $2,000B\text{'}$s must be made over the next $30$ working days. It is

management's objective to produce the product on straight time $($i$.$e$.,$ an eight$-$hour work day$).$ Other data

about the case are as follows:

a$)$ How many workers are required to complete the project on time?

b$)$ Halfway through the project, the government asks if you can add another $300$ A $\text{'}$s to the contract.

Assume that you can react instantancously by pulling workers off other projects. $($This will entail a

sepatate batch of A$.)$ For this remaining $15$ di ys$,$ how many additional workers are required?