MATHEMATICS COLLEGE

The owner of a fabric store has determined that the profits P of the store are approximately given by P(x) = -x^2 + 70x+67, where x is the yards of fabric sold daily. Find the maximum profit to the nearest dollar. a) $617 b) $792 c) $1017 d) $1292 e) none

Answers

Answer 1

Answer:

Answer: Option 'd' is correct.

Step-by-step explanation:

Since we have given that

Profit function of the store is given by

$P(x)=-x^2+70x+67$

We need to find the maximum profit.

For this, we first derivate the above function:

$P'(x)=-2x+70$

Now, put P(x) = 0, we get that

$-2x+70=0\n\n-2x=-70\n\nx=35$

Now, we will check that its maximality by finding the second derivative:

$P''(x)=-2<0$

it gives maximum profit at x = 35 yards.

And the maximum profit would be

$P(35)=-(35)^2+70* 35+67=\$1292$

Hence, Option 'd' is correct.

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Help asap !! will get branliest.

Answers

Answer:

0.8

Step-by-step explanation:

(2 x 10^-4)

= 0.0002

(4x10^3)

= 4000

0.0002 x 4000 = 0.8

Carpetland salespersons average $8000 per week in sales. Steve Contois, the firm's vice president, proposes a compensation plan with new selling incentives. Steve hopes that the results of a trial selling period will enable him to conclude that the compensation plan increases the average sales per salesperson. a. Develop the appropriate null and alternative hypotheses.

Answers

Answer:

Null hypothesis: The average sales per salesperson of Carpetland is $8000 per week

Alternate hypothesis: The average sali per salesperson of Carpetland is greater than $8000 per week

Step-by-step explanation:

The null hypothesis is a statement deduced from a population parameter which is subject to testing

The alternate hypothesis is a statement that negates the alternate hypothesis which is accepted if the null hypothesis is tested to be false

As a quality control manager for her distributing company, Zoe has 875.23 pounds of apples where she found 143.875 pounds of apples were rotten. How many pounds of fresh apples does she have? show your work.