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.

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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 $**$Please answer part a and b$**$