New Exercise Bank Content Qu$.05-11$

The WorldLight Company produces two light fixtures $($Products $1$ and $2)$ that

require both metal frame parts and electrical components. Management wants

to determine how many units of each product to produce per week so as to

maximize profit. For each unit of Product $1,$ one unit of frame parts and two

units of electrical components are required. For each unit of Product $2,$ three

units of frame parts and two units of electrical components are required. The

company has a weekly supply of $2,900$ units of frame parts and $4,400$ units of

electrical components. Each unit of Product $1$ gives a profit of $$13,$ and each

unit of Product $2,$ up to $900$ units, gives a profit of $$26.$ Any excess over $900$

units of Product $2$ brings no profit, so such an excess has been ruled out.

Formulate and solve a linear programming model for this problem on a

spreadsheet.

a$.$ Determine the number of Product $1$ and Product $2$ to produce per week so

as to maximize profit.

b$.$ Determine the total profit.