The problems in Exercises 3151 correspond to those in Exercises 121, Section 3.2. Use the results of your previous work to help you solve these problems. 31.
PRODUCTION SCHEDULING Kane Manufacturing has a division that produces two models of fireplace grates, model A and model B. To produce each model A grate requires 3 lb of cast iron and 6 min of labor. To produce each model B grate requires 4 lb of cast iron and 3 min of labor. The profit for each model A grate is

The number of grates of each model that should be produced in per day to maximize the Kane`s profit and optimal profit.
Given:
Tabulate the given information.
Models  Cast iron  Time (in min)  Profit ( in 
Approach:
Assume
The total amount for Cast iron is given by
The total amount of time is given by
As neither
Calculation:
Consider the given inequalities.
Replace the inequality sign with equality sign in the above linear inequalities and write them in intercept form.
So, the coordinates are
Also,
So, the coordinates are
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