Example $1$

The Highlands Craft Store is a small craft operation that employs local artisans to produce clay bowls and

mugs based on designs and colors from the $1700$s and $1800$s$.$ The two primary resources used by the

company are special pottery clay and skilled labor. Given these limited resources, the company wants to

know how many bowls and mugs to produce each day to maximize profit.

The two products have the following resource requirements for production and selling price per item

produced $($i$.$e$.,$ the model parameters$)$:

There are $40$ hours of labor and $120$ pounds of clay available each day. Formulate this problem as a linear

programming model.

Resource

Requirements

Resource

Requirements

Product Labor $($hr$/$unit$)$ Clay $($Ib$/$unit$)$ Revenue $($$$/$unit$)$

Bowl $1440$

Mug $2350$

Solve it