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. The selling price of the five products are- Punjabi Lassi-Rs 50/kg Gokul's Butter Rs 100/kg Bengali Mishti Doi- 250/kg, Marathi Srikhand- Rs 200/kg, Ajmeri MilkCake-Rs 150/kg and Swedish Cheese- Rs 300/kg.
Management desires Gokul's Butter production should be equal to or more than 40% Punjabi Lassi production.Total production of Punjabi Lassi plus Gokul's butter cannot exceed 800 kgs, since both products are produced on the same equipment Mishti doi or bhapa doi is a fabulous 5-ingredient Indian dessert resembling cheesecake.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.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.Not more than 500 kg of Punjabi Lassi can be sold in the market.Inputs given to the factory manager by company's purchase manager, store manager, production supervisor and marketing manager for the next month are as follows.
Balakrishna Milk products has to decide how many kgs of Punjabi Lassi (A), Gokul's Butter (B), Bengali Mishti Doi (C), Marathi Srikhand (D), Ajmeri MilkCake (E) and Swedish Cheese (F) is to be produced in the next month.
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