Find the Constraint Inequalities and the Profit Formula for This

question 10

Essay

Find the constraint inequalities and the profit formula for this linear programming mixture problem: Toni has a small business producing dried floral wreaths and table arrangements. Each wreath takes seven hours to produce, uses 12 stems of flowers, and earns a profit of $23. Each table arrangement takes five hours to produce, uses 20 stems of flowers, and earns a profit of $26. Toni can work no more than 30 hours per week and has a steady supply of 100 stems of dried flowers per week. How should Toni schedule production to optimize profit?

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Definitions:

Consumption of Y

Represents the amount or volume of good Y that is utilized or consumed over a period.

Utility Function

A mathematical representation that ranks an individual's preferences for various goods and services, aiming to measure their level of satisfaction.

Units of X

A quantitative measure used to express the amount of a variable or entity X.

Price of X

Refers to the current market price of a specific good, service, or commodity.