Math Solutions

[All Steps] The Ranch House, Inc. operates five fast-food restaurants. Input measures for the restaurants include weekly hours of operation, full-time equivalent

Question: The Ranch House, Inc. operates five fast-food restaurants. Input measures for the restaurants include weekly hours of operation, full-time equivalent staff, and weekly supply expenses. Output measures of performance include average weekly contribution to profit, market share, and annual growth rate. These measures are given in the tables below.

Restaurant Hours of Operation FTE Staff Supplies ($)
Bardstwon 96 16 850
Clarkville 110 22 1400
Jeffersonville 100 18 1200
New Albany 125 25 1500
St. Matthews 120 24 1600
Restaurant Weekly Profit Market Share Growth Rate
Bardstwon $3,800 25 8.0
Clarkville $4,600 32 8.5
Jeffersonville $4,400 35 8.2
New Albany $6,500 30 10.5
St. Matthews $6,000 28 9.3

Formulate a linear programming model that can be used to evaluate the performance of the Clarksville Ranch House restaurant. Is the Clarksville Ranch House restaurant relatively efficient? If not, where does the composite (virtual) restaurant have more outputs than the Clarksville restaurant? How much less of each input does the composite restaurant require when compared with to the Clarksville restaurant? What other restaurants should be studied to find suggested ways for the Clarksville restaurant to improve its efficiency?

Price: $2.99
Solution: The downloadable solution consists of 3 pages
Deliverable: Word Document


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