9:40 PM @ 29%[ BU8401 bu8401 141 52.pdf 6 Answers will be graded for content and
ID: 374937 • Letter: 9
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9:40 PM @ 29%[ BU8401 bu8401 141 52.pdf 6 Answers will be graded for content and appropriate presentation QUESTION A beead bakery makes two kinds of breads: French and Garlic. Both becads use the same source o flow, which is supplied early moming on a daily basis with a Ductuating quantity planned out for the entire week in negotiation with the supplier. While the bakery operanes on all S working days in the week, the supply of flour occurs only on Monday to Thursday. Fortunately, the unused lour for any day in the week can be saved for use in subsequent days of the week However, the bakery has a standing policy to discand all fhours not used by the end of the week so that all weeks begin with freshly supplied our In the coming week, fllowing our supply q lies have been coefirmed (in kilogram The bakery sets the selling prices of each of its French and Garlic breads dynamically on different days of the week: Note: Question 1 continues on page 2 Each French bread uses 025 kg of flour. Each Garlic bread uses 02 kg of Bour The bakery must cnswe that there is daly supply of at lea80French and 110 Gartic breads, but o mcee than 300 French and 400 Garlie breads. The bakery is located on a busy street and is confident Of selling all the bread it bakes by at the md of each day as long the maximum probction quantity of each kind of bread is adhered to. Use the notation Faxy and Gy to denote the decision variabiles representing mumber of French and Garlic breads for sale the day of week respectively. The suffix "day-isaonokner acronym ofthe day ofweek used in the earlier tables; far example, mcns Monday, means Tuesday and so on An example of sach a decision variable could be Fw which indicanes the namber of French breads to be peoduced on Thursday of the coming week You may define any other additional decision variables deemed necessary with clear descriptice However inappropriate decision variables will attract mark deductions Begin Write down a clearly annotated Linear Programming model to desermine the optimal production schedule for the bakery for all the days in the coming week wh th bakery can maximize the amount of revenue made from the sales of French and Garlic breads 25 marks)Explanation / Answer
LP model formulation is as follows:
Decision variables: Fday and Gday as defined in the question
Objective: FM + FT + 1.5FW + 1.5FH + 1.5FF + 0.8GM + 0.9GT + GW + 1.1GH + 1.2GF
s.t.
0.25FM + 0.2GM <= 50
0.25*(FM + FT) + 0.2*(GM + GT) <= 50+150
0.25*(FM + FT + FW) + 0.2*(GM + GT + GW) <= 50+150+130
0.25*(FM + FT + FW + FH) + 0.2*(GM + GT + GW + GH) <= 50+150+130+80
0.25*(FM + FT + FW + FH + FF) + 0.2*(GM + GT + GW + GH + GF) <= 50+150+130+80+0
Fday >= 80
Gday >= 110
Fday <= 300
Gday <= 400
Gday , Fday >= 0
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