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The Beaver Creek Pottery Company employs skilled artisans to produce clay bowls and mugs. Two primary resources

used by the company are special pottery clay and skilled labor. The company desires to know how many bowls and mugs to produce each day in order to maximize profit. There are 40 hours of labor and 120 pounds of clay available each day for production.

Resource requirements

Product Labor Clay Profit

(hr/unit) (Ib/unit) ($/unit)

Bowl 1 4 40

Mug 2 3 50


Decision variables:

Let x1 = ?

x2 = ?

Objective function:

Max Z = ?

Model constraints:

Labor constraints: ?

Clay constraints: ?

Non-negative constraints: ?

The complete LP model:

Max Z = ?

s.t : ?

Possible solution;

Consider x1 = 5 and x2 = 10;

Labor: ?

Clay: ?

      Max Z = ?

Now consider x1 = 10 and x2 = 20

Labor: ?

Clay: ?

Now let x1 = 24 and x2 = 8

Labor: ?

Clay: ?

Max Z = ?

Show Graphical Solution = ?

Top Answer

1) Decision variables x1="number of Bowls to be produced" x2="number of Mugs to be produced" 2) Objective function Max Z=40x1... View the full answer


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