A manufacturing system has gained a new long$-$term contract to manufacture several components which may form two different part families. The contract term is $10$ years, and this has taken as an opportunity to expand the existing facility and allocate the new equipment for processing the part families to meet the monthly demand on time to avoid possible contractbased penalty charges.

The company, as an initial stage, wishes to get a rough$-$cut purchase plan to decide how many machines and other type of equipment are needed to meet the demand on time.

The part types, their monthly demands as well as the process plans are given below.

M$1$ Milling Machine Type $1$

M$2$ Milling Machine Type $2$

M$3$ Milling Machine Type $3$

T$1$ Turning Machine Type $1$