Figure 1 demonstrates an Excel spreadsheet that is used to model the following linear programming problem:

Max: 4 X1 + 3 X2

Subject to:

3 X1 +5 X2 40

12 X1 + 10 X2 120

X1 15

X1, X2 0

Note: Cells B3 and C3 are the designated cells for the optimal values of X1 and X2, respectively, while cell E4 is the designated cell for the objective function value. Cells D8:D10 designate the left-hand side of the constraints.

Refer to Figure 1. What formula should be entered in cell D9 to compute the amount of resource 2 that is consumed?

	a.	=B9*D9 + C9*D9
	b.	=SUMPRODUCT(B2:C2,B9:C9)
	c.	=SUM(B9:C9)
	d.	=SUMPRODUCT(B3:C3,B9:C9

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