Solve Problems Using Systems of Linear Equations
-In Miguel's Home $y = 0.27 x + 14.2$

question 82

Multiple Choice

Solve Problems Using Systems of Linear Equations
-In Miguel's home town, the percentage of women who smoke is increasing while the percentage of men who smoke is decreasing. The function $y = 0.27 x + 14.2$ models the percentage, $y$ , of women in this city who smoke x years after 1990 . The function $0.20 \mathrm { x } + \mathrm { y } = 29.7$ models the percentage, $\mathrm { y }$ , of men in this city who smoke x years after 1990 . Use these models to determine when the percentage of women who smoke will be the same as the percentage of men who smoke. Round to the nearest year. What percentage of women and what percentage of men (to the nearest whole percent) will smoke at that time?

• A) \(2023 ; 23 \%\)
• B) \(2024 ; 23 \%\)
• C) \(2022 ; 23 \%\)
• D) \(2025 ; 23 \%\)

Apply nonlinear optimization techniques and model formulation to solve business problems.

Comprehend the concepts of Lagrange multipliers and their application in optimization.

Recognize different optimization algorithms and their appropriate applications.

Distinguish between linear, integer, and nonlinear optimization models.

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Definitions:

Probability

A valuation in the form of a number between 0 and 1 that assesses the possibility of an event's occurrence.

Sealed-Bid

A method of auction or tendering process where all bidders simultaneously submit their bids in secret, to be opened at a predetermined time.

Lemons

A term used in economics to describe a product of lower quality that is hard to distinguish from higher quality products before purchase.

Expected Value

The mean of all potential outcomes of a random variable, adjusted according to their individual probabilities of occurrence.