Feasible Solution CheckA spreadsheet model has two constraints:x+y

Recognizing a Quadratic Programming ModelA spreadsheet model has this objective function:where D and W are changing cells. The constraints are linear. What type of optimization model is this?Source: Adapted from the nonlinear Wyndor Glass extension in Chapter 11.

Defining a Prescriptive Analytics ModelA shipping company wants to decide how many truckloads to send from each warehouse to each store. The spreadsheet model will minimize total shipping cost while satisfying store demand and warehouse supply limits. Which three elements must be clearly defined for the prescriptive model?Source: Adapted from the textbook’s Chapter 2 discussion of defining decisions, objectives, and constraints for prescriptive analytics.

SUMPRODUCT for Resource UsageUsing the same door-and-window data: Plant Door Hours Window Hours Available Hours Plant 1 1 0 4 Plant 2 0 2 12 Plant 3 3 2 18 Suppose the number of doors is in cell B8, the number of windows is in cell C8, and the Plant 3 coefficients, 3 and 2, are in cells B5:C5. Which Excel formula correctly calculates Plant 3 hours used?Source: Adapted from the Wyndor Glass spreadsheet model, Chapter 5.

Objective Value ComparisonA linear programming model maximizes:40x+30ysubject to:x+y

Nonlinear Profit CalculationA production model estimates profit using:where R is the production rate. In Excel, you enter R = 4. What profit value should the spreadsheet calculate?Source: Adapted from Chapter 11 nonlinear programming end-of-chapter problem material.

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