Dingdong snack mix can be sold for P500 and each kg of Hot and Spicy Dingdong Snack mix can be sold for P450. Formulate an LP that will maximize Revenue of JBC Food Co. for its pilot production
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JBC Food Corporation will manufacture two variants of Dingdong snack mix, the plain and hot and spicy. Both snack mix
will have US grade green peas, corn chips and curls aside from the usual greaseless peanuts and corn bits inside a dingdong
pack. For the pilot production, JBC has 100kg of US grade green peas, 20kg of corn chips and 30kg of curls. The mixture of
the plain Dingdong snack mix contains at least 20% of the US grade green peas. The mixture of the hot and spicy Dingdong
snack mix must contain at least 10% of the US grade green peas and 15% curls. Assume that one kg of the mixed nuts
contributes one kg to one pack of dingdong snack mix. Each kg of Plain Dingdong snack mix can be sold for P500 and each
kg of Hot and Spicy Dingdong Snack mix can be sold for P450. Formulate an LP that will maximize Revenue of JBC Food
Co. for its pilot production.
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- The New England Cheese Company produces two cheese spreads by blending mild cheddar cheese with extra sharp cheddar cheese. The cheese spreads are packaged in 12-ounce containers, which are then sold to distributors throughout the Northeast. The Regular blend contains 80% mild cheddar and 20% extra sharp, and the Zesty blend contains 60% mild cheddar and 40% extra sharp. This year, a local dairy cooperative offered to provide up to 8,100 pounds of mild cheddar cheese for P1.20 per pound and up to 3,000 pounds of extra sharp cheddar cheese for P1.40 per pound. The cost to blend and package the cheese spreads, excluding the cost of the cheese, is P0.20 per container. If each container of Regular is sold for P1.95 and each container of Zesty is sold for P2.20, how many containers of Regular and Zesty should New England Cheese Company produce?Jayanta is raising money for the homeless and discovers each church group requires 2 hr of letter writing and 1 hr of follow-up calls, while each labor union needs 2 hr of letter writing and 3 hr of follow-up. She can raise $150 from each church group and $175 from each union. She has a maximum of 20hours of letter writing and 14 hours of follow-up available each month. Determine the most profitable mixture of groups she should contact and the most money she can raise in a month.Donna De Paul is raising money for the homeless. She discovers that each church group requires 2 hours of letter writing and 1 hour of follow-up, while for each labor union she needs 2 hours of letter writing and 3 hours of follow-up. Donna can raise $125 from each church group and $175 from each union local, and she has a maximum of hours 20 of letter writing and a maximum of 12 hours of follow-up available per month. Determine the most profitable mixture of groups she should contact and the most money she can raise in a month. Let be the number of church groups, and let be the number of labor unions. What is the objective function?
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