Jim's Winery Blends Fine Wines for Local Restaurants

question 42

Essay

Jim's winery blends fine wines for local restaurants.One of his customers has requested a special blend of two burgundy wines,call them A and B.The customer wants 500 gallons of wine and it must contain at least 100 gallons of A and be at least 45% B.The customer also specified that the wine have an alcohol content of at least 12%.Wine A contains 14% alcohol while wine B contains 10%.The blend is sold for $10 per gallon.Wine A costs $4 per gallon and B costs $3 per gallon.The company wants to determine the blend that will meet the customer's requirements and maximize profit.
a.Formulate the LP model for this problem.
b.Solve the problem using the graphical method.
c.How much profit will Jim make on the order?

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Definitions:

Acquired

Something that has been obtained or gained, which was not innate or present from birth.

Reparative Therapy

a controversial psychological treatment aimed at changing a person's sexual orientation from homosexual or bisexual to heterosexual, widely discredited by major medical organizations.

Mental Health Organizations

Institutions that provide resources, support, advocacy, and research for individuals dealing with mental health challenges and their families.

Homosexuality

The quality or characteristic of being sexually attracted solely to people of one's own gender.