Example 4.3.\ A certain company makes two products:

P_(1)

and

P_(2)

. Each

P_(1)

requires

5kg

of material

M

\ and

3kg

of material

N

. Each

P_(2)

requires

3kg

of

M

and

3kg

of

N

. In the warehouse, there\ are

350kg

of

M

and

270kg

of

N

available. The profit is

$50

for each

P_(1)

and

$40

for each

P_(2)

.\ What mix of

P_(1)

and

P_(2)

products should the company make and sell in order to maximize\ its total profit?

Example 4.3. A certain company makes two products: P1 and P2. Each P1 requires 5kg of material M and 3kg of material N. Each P2 requires 3kg of M and 3kg of N. In the warehouse, there are 350kg of M and 270kg of N available. The profit is $50 for each P1 and $40 for each P2. What mix of P1 and P2 products should the company make and sell in order to maximize its total profit