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Eva8 [605]
3 years ago
14

Ax-b=3x+5d what is x and d?

Mathematics
1 answer:
Vsevolod [243]3 years ago
7 0

Answer:

Step-by-step explanation:

ax - b = 3x + 5d

For x;

ax = 3x + 5d +b

x = (3x + 5d + b)/a

Now for d;

ax - b -3x = 5d

d= (ax - b - 3x)/5

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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
If y varies directly with X and y =10 and X=4 write the direct linear variation equation .
rosijanka [135]
Y= kx   (k being a constant)
10= k × 4     k=5/2

y= 5x/2    The answer is C.
7 0
3 years ago
Ms. Hanuanaer helped students prepare juice. The recipe was 320 ounces of cranberry juice, 320 ounces of sprite, and a splash of
salantis [7]
This is a two step word problem so first your gonna have to subtract 320-50= 270 then divide to find your final answer so 270 divided by 8 is 33.75
4 0
3 years ago
A hair salon charges a fixed rate of $25.00 for a haircut and an additional $15 for any other services. Write a function to mode
goblinko [34]
25+15•3= 70 dollars she spent on the hair salon..... dang lotsa money
3 0
3 years ago
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John read the first 114 pages of a novel, which was 3 pages less than start fraction, 1/3 1, divided by, 3, end fraction of the
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HERE IS YOUR ANSWER


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