A linear programming computer package is needed. Romans Food Market, located in Saratoga, New York, carries a variety of specialty foods from as and Romans DeCaf Coffee. These coffees are blends of Brazilian Natural and Colombian Mild cof quantities, the coffee beans may be purchased on an as-needed basis for a price 10% higher the Natural and $0.62 per pound for Colombian Mild. The compositions of each coffee blend are as Blend Bean Regular DeCaf Brazilian Natural 75% 40% Colombian Mild 25% 60% Romans sells the Regular blend for $3.60 per pound and the DeCaf blend for $4.40 per pound. Rc of 1,100 pounds of Romans Regular coffee and 600 pounds of Romans DeCaf coffee. The producti production cost for the DeCaf blend is $1.05 per pound. Packaging costs for both products are $0. Natural and Colombian Mild that will maximize the total contribution to profit. (Let BR = pounds o CR = pounds of Colombian beans purchased to produce Regular, and CD = pounds of Colombian E Max 2.033BR + 2.583BD + 1.868CR+ 2.418CD s.t.

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A linear programming computer package is needed.
Romans Food Market, located in Saratoga, New York, carries a variety of specialty foods from ar
and Romans DeCaf Coffee. These coffees are blends of Brazilian Natural and Colombian Mild cof
quantities, the coffee beans may be purchased on an as-needed basis for a price 10% higher th
Natural and $0.62 per pound for Colombian Mild. The compositions of each coffee blend are as f
Blend
Bean
Regular DeCaf
Brazilian Natural
75%
40%
Colombian Mild
25%
60%
Romans sells the Regular blend for $3.60 per pound and the DeCaf blend for $4.40 per pound. Ro
of 1,100 pounds of Romans Regular coffee and 600 pounds of Romans DeCaf coffee. The producti
production cost for the DeCaf blend is $1.05 per pound. Packaging costs for both products are $0.
Natural and Colombian Mild that will maximize the total contribution to profit. (Let BR = pounds of
CR = pounds of Colombian beans purchased to produce Regular, and CD = pounds of Colombian b
Max 2.033BR + 2.583BD + 1.868CR+ 2.418CD
s.t.
Regular % constraint 0
DeCaf % constraint 0
Pounds of Regular 1000
Pounds of DeCaf 500
What is the optimal solution and what is the contribution to profit (in $)? (Round your contribution to
(BR, BD, CR, CD) =
(825, 240, 275, 360)
Profit = $ 3681.325
Need Help?
Read It
Transcribed Image Text:A linear programming computer package is needed. Romans Food Market, located in Saratoga, New York, carries a variety of specialty foods from ar and Romans DeCaf Coffee. These coffees are blends of Brazilian Natural and Colombian Mild cof quantities, the coffee beans may be purchased on an as-needed basis for a price 10% higher th Natural and $0.62 per pound for Colombian Mild. The compositions of each coffee blend are as f Blend Bean Regular DeCaf Brazilian Natural 75% 40% Colombian Mild 25% 60% Romans sells the Regular blend for $3.60 per pound and the DeCaf blend for $4.40 per pound. Ro of 1,100 pounds of Romans Regular coffee and 600 pounds of Romans DeCaf coffee. The producti production cost for the DeCaf blend is $1.05 per pound. Packaging costs for both products are $0. Natural and Colombian Mild that will maximize the total contribution to profit. (Let BR = pounds of CR = pounds of Colombian beans purchased to produce Regular, and CD = pounds of Colombian b Max 2.033BR + 2.583BD + 1.868CR+ 2.418CD s.t. Regular % constraint 0 DeCaf % constraint 0 Pounds of Regular 1000 Pounds of DeCaf 500 What is the optimal solution and what is the contribution to profit (in $)? (Round your contribution to (BR, BD, CR, CD) = (825, 240, 275, 360) Profit = $ 3681.325 Need Help? Read It
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