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faust18 [17]
3 years ago
7

A company that manufactures vehicle trailers estimates that the monthly profit for selling its midsize trailer is represented by

function p, where t is the number of trailers sold. p(t)= -25t^3+625t^2-2500t Use the key features of function p to complete these statements. The company makes a profit when it sells _____trailers. The maximum profit of approximately $____ occurs when it sells approximately____ trailers.
Mathematics
2 answers:
lapo4ka [179]3 years ago
6 0

Answer:

The answer is below

Step-by-step explanation:

The profit equation is given by:

p(t)= -25t³+625t²-2500t

The maximum profit is the maximum profit that can be gotten from selling t trailers. The maximum profit is at point p'(t) = 0. Hence:

p'(t) = -75t² + 1250t - 2500

-75t² + 1250t - 2500 = 0

t = 2.3 and t = 14.3

Therefore t = 3 trailers and t = 15 trailers

p(15) = -25(15³) + 625(15²) - 2500(15) = 18750

Therefore the company makes a maximum profit of approximately $18750 when it sells approximately 15 trailers.

Korolek [52]3 years ago
3 0

Answer:

See below

Step-by-step explanation:

Since t is number of trailers, the domain includes only those values greater than 0.

On the relevant domain, the graph crosses the x-axis at the points (5,0) and (20,0). Between these points, the value of p(t) is positive. So the company makes a profit when it sells between 5 and 20 trailers.

On the positive interval between these points, the graph reaches a relative maximum when t roughly equals 14 and p(t) roughly equals $19,000.

So the maximum profit of approximately $19,000 occurs when it sells approximately 14 trailers.

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3 years ago
Ruby ate 1/5 of a pie . If there was 10 slices of pie , how many did she eat . <br> SHOW YOUR WORK
Ksju [112]

Ruby eats two slices of pie

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So, total number of slices of pie that Ruby ate = 10 x 1/5 = 2

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brainly.com/question/11562149

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5 0
1 year ago
5 2/3 gave to her 4 friends how much did each one receive
Olin [163]

Answer:

Let's see what to do buddy...

Step-by-step explanation:

If it is 5 + 2/3

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Step (1)

First we have to find all she has :

5 \frac{2}{3} = 5 +  \frac{2}{3} =  \frac{5 \times 3}{3} +  \frac{2}{3} = \\   \frac{15}{3} +  \frac{2}{3} =  \frac{17}{3}

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Step (2)

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So we have :

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And we're done.

Thanks for watching buddy good luck.

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