Q6. Balakrishna Milk products has to decide how many kgs of Punjabi Lassi (A), Gokul's Butter (B), Bengali Mishti, Doi (

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Q6 Balakrishna Milk Products Has To Decide How Many Kgs Of Punjabi Lassi A Gokul S Butter B Bengali Mishti Doi 1 (47.21 KiB) Viewed 42 times

Q6. Balakrishna Milk products has to decide how many kgs of Punjabi Lassi (A), Gokul's Butter (B), Bengali Mishti, Doi (C), Marathi Srikhand (D), Aimeri MilkCake (E) and Swedish Cheese (F) is to be produced in the next month. [8] Inputs given by company's purchase manager, store manager, production supervisor and marketing manager for the next month production plan are as follows- • Not more than 500 kg of Punjabi Lassi can be sold in the market. • An export order to supply 200 kg of Bengali Mishti, Doi to Bangladesh has to be met and not more than 500kg of Bengali Misti Doi can be sold in the market. • An export order to supply 100 kg of Swedish Cheese to Finland has to be met and not more than 50 kg of Swedish Cheese can be sold in the market. • Total production of Punjabi Lassi plus Gokul's butter cannot exceed 800 kgs, since both products are produced on the same equipment. Management desires Gokul's Butter production should be equal to or more than 50% Punjabi Lassi production. • Amount of milk required to produce 1kg of each of the six products are: Punjabi Lassi- 1kg; Gokul's Butter- 2kg; Bengali Mishti Doi-3kg; Marathi Srikhand-4kg; Aimeri MilkCake-5kg; and Swedish Cheese-6kg. Total milk availability will not exceed 800,000 kgs. The selling price of the five products are- Punjabi Lassi-Rs 50/kg; Gokul's Butter Rs, 100/kg; Bengali Mishti Dol- 150/kg, Marathi Stikhand-Bs.200/kg, Aimeri MilkCake Rs 250/kg and Swedish Cheese- Rs 300/kg. Write a set of equations to capture of the objective of the production manager and the constraints that need to be satisfied to determine the production plan.