Find the Vertex, the Y-Intercept, and the X-Intercepts (If Any $\mathrm { P } ( \mathrm { x } ) = - 3 \mathrm { x } ^ { 2 } + 126 \mathrm { x } - 960$

question 15

Multiple Choice

Find the vertex, the y-intercept, and the x-intercepts (if any exist) , and graph the function.
-The daily profit in dollars of a specialty cake shop is described by the function $\mathrm { P } ( \mathrm { x } ) = - 3 \mathrm { x } ^ { 2 } + 126 \mathrm { x } - 960$ , where $x$ is the number of cakes prepared in one day. The maximum profit for the company occurs at the vertex of the parabola. How many cakes should be prepared per day in order to maximize profit?

• A) 42 cakes
• B) 441 cakes
• C) 1323 cakes
• D) 21 cakes

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Definitions:

Internal Causes

Factors within a person, such as personal traits or motivations, that influence behavior.

Fundamental Attribution Error

The tendency to make attributions to internal causes when focusing on someone else’s behavior.

Behavior

The action or reaction of an entity (usually a person), in response to external or internal stimuli.

Social Perception

The process by which individuals form impressions and make inferences about other people and social situations based on observable cues and contextual information.