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netineya [11]
3 years ago
12

ANSWER QUICKLY PLEASE. WILL BE AWARDED BRAINLIEST ANSWER

Mathematics
1 answer:
Alexxandr [17]3 years ago
8 0

Area is found by multiplying the length by the width.

Let X = width.

The length is x +3 ( 3 cm longer than the width).

Now you have area = x * x+3

Area is given as 754 square cm.

754 = x * x+3

Simplify:

754 = x^2 +3x

Subtract 754 from both sides:

x^2 +3x - 754 = 0

Factor:

(x -26) (x+29)

Solve for x:

x = 26 and -29.

Since the dimension cannot be negative, x = 26.

The width = 26 cm.

The length = 26 +3 = 29 cm.

Multiply each dimension by 100 to get millimeters:

Width = 260 mm

Length = 290 mm

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Step-by-step explanation:

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3 years ago
If a monopolist supplies goods at a price; P = 170 - Q, with marginal cost; MC = 52. Find the quantity and price
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Answer:

Quantity = 59 units

Price = $111

Step-by-step explanation:

The Demand function is given by

P = 170 - Q

The Marginal cost is given by

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We are asked to find the quantity and price of goods.

Firstly, obtain the Marginal revenue function from the demand function

The Total revenue is given by

TR = P \times Q \\\\TR = (170 - Q) \times Q \\\\TR = 170Q - Q^2

The Marginal revenue is the derivative of the Total revenue,

MR = \frac{d}{dQ} (TR) = 170Q - Q^2 \\\\MR = \frac{d}{dQ} (TR) = 170 - 2Q \\\\

Assuming that the monopolist maximizes profits,

MR = MC \\\\170 - 2Q = 52\\\\2Q = 170 - 52\\\\2Q = 118\\\\Q = 118/2\\\\Q = 59

Therefore, the quantity is 59 units.

The price of each good is

P = 170 - Q \\\\P = 170 - 59 \\\\P = 111

Therefore, the price is $111.

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Answer:

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