MOSIS $-10$ points

Correct legend $($variable$,$ units, of what$)(1$ pt$)$; Correct profit calculation $(2$ pts$)$; Correct objective function $(1$

pt$)$; Production constraints $(3$ points$)$; Non$-$negative constraint $(1$ pt$)$; Excel solution $(2$ pts$)$MEMO

To: Management Science Analysist

From: J$.$ Kilby, design chief

Re: Production schedule

MOSIS can produce three types of CPU chips. The company is planning a monthly production schedule. The

following departments have provided helpful information.

Accounting:

The accounting department has identified the productions costs and the sales price and included them in the

following table:

Production:

The production department cannot produce more than $4000$ units of all chips. Products are made on the

"chipping" machine, which can produce $20,30,$ or $40$ units of chips A$,$ B$,$ or C$,$ respectively, per hour. The

machine is available for up to $120$ hours each month.

Marketing:

The marketing department requires the production of at least $1000$ chips of type $B$ and no more than $500$

units of chip A$.$ The marketing department also requires that there be at least twice as many units of $B$ as of

$C$ in the monthly schedule.

Finance:

The finance department has set an upper budget limit of $$20,000$ for the schedule.

Management: The Company's declared objective is profit maximization. How many units of A$,$ B$,$ and C

should the company produce?