In: Advanced Math
1. A company produces and sells two different products. The
demand for each product is unlimited, but the company is
constrained by cash availability and machine capacity. Each unit of
the first and second product requires 3 and 4 machine hours,
respectively. There are 20,000 machine hours available in the
current production period. The production costs are $3 and $2 per
unit of the first and second product, respectively. The selling
prices of the first and second product are $6 and $5.40 per unit,
respectively. The available cash is $4,000 and furthermore, 45% of
the sales revenues from the first product and 30% from the second
product will be made available to finance operations during the
current period.
(a) Formulate an LP problem that maximizes the company’s net income
subject to cash availability and machine capacity
limitations.
(b) Solve the problem graphically to obtain an optimal
solution.
(c) Suppose that the company could increase its suitable machine
hours by 2,000 after spending $400 for certain repairs. Should the
investment be made?
pleas solve all show all steps I Need it as notes no app
plz