$6$ Our local maternity ward delivers $1,500$ babies per year.

On the average, $5$ beds in the maternity ward are filled. How

long does the average mother stay in the maternity ward?

$7$ Assume that an average of $125$ packets per second of

information arrive to a router and that it takes an average of

$\mathrm{.}002$ second to process each packet. Assuming exponential

interarrival and service times, answer the following

questions.

a What is the average number of packets waiting for

entry into the router?

b What is the probability that $10$ or more packets are

present? Table $29.$

Formulate an LP whose solution will tell LIMECO how

to maximize their daily profit.

$11$ Chemco produces three products: A$,$ B$,$ and C$.$ They

can sell up to $30$ pounds of each product at the following

prices $($per pound$)$: product $A,$$$10$; product $B,$$$12$; product

$C,$$$20.$ Chemco purchases raw material at $$\frac{5}{l}b.$ Each pound

of raw material can be used to produce either $1lb$ of $A$ or

$1lb$ of $B.$ For a cost of $$\frac{3}{l}b$ processed, product A can be

converted to $\mathrm{.}6lb$ of product $B$ and $\mathrm{.}4lb$ of product $C.$ For

a cost of $$\frac{2}{1}b$ processed, product $B$ can be converted to

$\mathrm{.}8lb$ of product C$.$ Formulate an LP whose solution will tell

Chemco how to maximize their profit.

$12$ Chemco produces $3$ chemicals: B$,$ C$,$ and D$.$ They begin

by purchasing chemical A for a cost of $$\frac{6}{100}$ liters. For an

TABLE $28$