"The Tycron Company produces three electrical products$$clocks$,$ radios, and toasters. These products have the following resource requirements:

$$

Resource Requirements

Product

Cost$/$Unit

Labor Hours$/$Unit

Clock

$$7$

$2$

Radio

$10$

$3$

Toaster

$5$

$2$

The manufacturer has a daily production budget of $$2000$ and a maximum of $660$ hours of labor. Maximum daily customer demand is for $200$ clocks, $300$ radios, and $150$ toasters. Clocks sell for $$15,$ radios for $$20,$ and toasters for $$12.$ The company desires to know the optimal product mix that will maximize profit.

Formulate and solve a linear programming model for this problem."