Use Mathematical Models Involving Linear Inequalities
-A Bakery Plans to Market

question 55

Multiple Choice

Use Mathematical Models Involving Linear Inequalities
-A bakery plans to market a mixed assortment of its two most popular cookies, Chocolate Chip and Toffee Chunk. The marketing analyst proposes that the new assortment be constrained by the inequality 3C + 4T ≤ 31, where C is the number of Chocolate Chip cookies and T is the number of Toffee Chunk cookies. The sales analyst suggests that the assortment should be constrained by the inequality 5C + 2T ≤ 33. The number of each type of cookie cannot be negative, so C ≥ 0 and T ≥ 0. Graph the region satisfying all the requirements for the assortment using C as the horizontal axis and T as the vertical axis. Does the combination of 7 Chocolate Chip cookies and 2 Toffee Chunk cookies satisfy all of the requirements?

• A) \(\mathrm { No }\)
• B) Yes
• C) No
• D) Yes

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Definitions:

Standard Error

A statistical measure that estimates the accuracy of a sample mean by describing the dispersion of sample means around the population mean.

Sample Mean Difference

The difference between the mean values of two samples drawn from the same or different populations.

Population Means

The average value of a particular characteristic in the entire population.

Sampling Distribution

A sampling distribution is the probability distribution of a given statistic based on a random sample.