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blends each day. Morning Blend includes 25% Brazilian, 30% Tanza- nian, and 45% Guatemalan, while Study Break is a blend of 55% Bra- zilian, 15%

blends each day. Morning Blend includes 25% Brazilian, 30% Tanza- nian, and 45% Guatemalan, while Study Break is a blend of 55% Bra- zilian, 15% Tanzanian, and 30% Guatemalan. The shop sells one and a half times more Morning Blend than Study Break each day. Morning Blend sells for $1.95 per cup, and Study Break sells for $1.70 per cup. The manager wants to know the number of cups of each blend to sell each day in order to maximize sales.

a. Formulate a linear programming model for this problem. b. Solve this model using graphical analysis. c. Solve this model using Excel.

d. If the Cafe could get one more pound of coffee, which one should it be? What would be the effect on sales of getting one more pound of this coffee?

e. Woulditbenefittheshoptoincreaseitsbrewingcapacityfrom 25 gallons to 30 gallons?

f. Should the Cafe spend $25 per day on advertising if it would increase the relative demand for Morning Blend to twice that of Study Break?

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