What Combination of a and B Will Yield the Optimum

question 98

Multiple Choice

What combination of a and b will yield the optimum for this problem? Maximize $6a + $15b, subject to (1) 4a + 2b ≤ 16 and (2) 5a + 2b ≤ 20 and (3) a, b ≥ 0.

• A) a = 0, b = 0
• B) a = 3, b = 3
• C) a = 0, b = 6
• D) a = 6, b = 0
• E) a = 0, b = 8

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Definitions:

Total Sales

The overall revenue generated from goods or services sold by a business in a specific period.

Variable Cost

Costs that vary directly with the level of production or volume of output, such as raw materials and labor associated with the production process.

Sales Volume

The quantity of products or services sold by a business within a specific period, crucial for assessing company performance and planning.

Net Income

The total profit of a company after all expenses and taxes have been deducted from total revenues.