A Haberdashery Produces Scarves, Ascots, and Capes

question 75

Essay

A haberdashery produces scarves, ascots, and capes.The profit function for the haberdashery is expressed by the following equation: profit = 4S + 2A + 5C + 0.8S² + 1.4A² + 2C^{2 + 2SAC}.It takes 10 minutes to produce a scarf, 15 minutes to produce an ascot and 30 minutes to produce a cape.There is a total of 50 hours available for labor each week.There must be at least 50 scarves, 100 ascots, and 25 capes produced each week.Formulate a nonlinear program representing the profit maximization problem for the haberdashery.

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Definitions:

Enter Bills

The act of recording amounts owed for goods and services received but not paid for in the accounting software.

Write Checks

The process of creating a check to pay a specified amount to a payee from the writer’s bank account.

Record Services

The process of documenting the services provided by a business, often for billing or accounting purposes.

Enter Bills

The process in accounting software where incoming invoices from suppliers are recorded ahead of payment.