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3 years ago

HELPPP!!!

Mathematics

1 answer:

spayn [35]3 years ago

8 0

Answer:

A. see below for a graph

B. f(x, y) = f(0, 15) = 90 is the maximum point

Step-by-step explanation:

A. See below for a graph. The vertices are those defined by the second inequality, since it is completely enclosed by the first inequality: (0, 0), (0, 15), (10, 0)

B. For f(x, y) = 4x +6y, we have ...

f(0, 0) = 0

f(0, 15) = 6·15 = 90 . . . . . the maximum point

f(10, 0) = 4·10 = 40

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<em>Comment on evaluating the objective function</em>

I find it convenient to draw the line f(x, y) = 0 on the graph and then visually choose the vertex point that will put that line as far as possible from the origin. Here, the objective function is less steep than the feasible region boundary, so vertices toward the top of the graph will maximize the objective function.

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Read 2 more answers

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Answer: Choice A) $0.45

================================

Explanation:

Plug in d = 0 and you'll have A(d) = 0.45d+180 turn into A(0) = 180. This says that Terry is paid $180 even if he doesnt travel a single mile.

Now plug in d = 1. You should get A(1) = 180.45 as the result.

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A shortcut is to notice that the slope of the line is 0.45

It might help to view A(d) = 0.45d+180 as y = 0.45x+180. We see that the equation is in slope intercept form y = mx+b

m = slope = 0.45 tells us how much additional dollars Terry earns for each additional mile traveled

b = 180 = y intercept = starting amount of money Terry is paid, this amount does not change based on how many miles he travels.

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