Chapter 3.3, Problem 52E

PRODUCTION SCHEDULING Bata Aerobics manufactures two models of steppers used for aerobic exercises. Manufacturing each luxury model requires $10\text{lb}$ of plastic and $10\min$ of labor. Manufacturing each standard model requires $16\text{lb}$ of plastic and $8\min$ of labor. The profit for each luxury model is $\$40$, and the profit for each standard model is $\$30$. If $6000\text{lb}$ of plastic and $60$ labor-hours are available for the production of the steppers per day, how many steppers of each model should Bata produce each day to maximize its profit? What is the optimal profit?