Evaluate the expression right the answer in simplest form 2/5+2 1/6÷5/6

A manufacturer has been selling 1400 television sets a week at $450 each. A market survey indicates that for each $21 rebate off

GuDViN [60]

Correct question is;

A manufacturer has been selling 1400 television sets a week at $450 each. A market survey indicates that for each $21 rebate offered to a buyer, the number of sets sold will increase by 210 per week

A) Find the demand function (price p as a function of units sold x).

p(x)=______

(B) How large a rebate should the company offer the buyer in order to maximize its revenue?

$=_____

Answer:

A) p(x) = (-1/10)x + 590

B) Rebate = $170

Step-by-step explanation:

A) We are told that p(x) is the demand function and x is the number of TV sets sold per week.

Now, since for each $21 rebate offered, the number of sets sold increases by 210 per week, it means that the slope here of this demand function is; m = -21/210 = -1/10

Now, he has been selling 1400 TV sets a week at $450 each. This means; p(1400) = $450

Thus, the demand function will be;

p(x) - 450 = (-1/10)(x - 1400)

Expanding the RHS;

p(x) - 450 = (-1/10)x + 140

Add 450 to both sides to get;

p(x) = (-1/10)x + 140 + 450

p(x) = (-1/10)x + 590

B) Formula for revenue is;

R = price × quantity sold

Our demand function is p = (-1/10)x + 590

Making x the subject, we have;

x = 5900 - 10p

x is quantity sold.

Thus,

R = p(5900 - 10p)

R = 5900p - 10p²

Maximum price will occur at dR/dP = 0

Thus;

dR/dP = 5900 - 20p

At dR/dP = 0,we have;

20p = 5900

p = 5900/20

p = $280

Thus, rebate = 450 - 280 = $170

6 0

2 years ago

GEOMETRY// Area? Also please provide an explanation(:

Zina [86]

Answer:

A = 80

Step-by-step explanation:

B = 8

H = 10

Area of a Parallelogram = B x H = 8 x 10 = 80

8 0

3 years ago

What is the answer to 5(6p+5)

AfilCa [17]

Answer:

30p + 25

Step-by-step explanation:

I hope this helps.

3 0

3 years ago

Help what are the answers im so stuck!

AnnZ [28]

Answer:

see below

Step-by-step explanation:

A percentage change is computed as follows:

percent change = ((new value) -(original value))/(original value) × 100%

For your first one, this looks like ...

percent change = ($25 -$75)/$75 × 100% = (-50/75) × 100% = -0.667×100%

percent change = -66.7%

__

When there are a lot of similar calculations to do, I like to use a spreadsheet. See below for the other percentage changes (rightmost column).

4 0

3 years ago

Help with the 2 question .. 20 points

Bas_tet [7]

Answer:

see explanation

Step-by-step explanation:

c = a - 2b

= < 4, 5, 6 > - 2 < 1, 2, 3 > ← multiply each component by 2

= < 4, 5, 6 > - < 2, 4, 6 > ← subtract corresponding components

= < 4 - 2, 5 - 4, 6 - 6 > = < 2, 1, 0 >

| c | = $\sqrt{2^2+1^2+0^2}$ = $\sqrt{4+1+0}$ = $\sqrt{5}$

-------------------------------------------------------------------------------------------------

sum the product of corresponding components

u.v = (3 × 2) + (- 2 × - 1) + (4 × - 6) = 6 + 2 - 24 = - 16

6 0

3 years ago