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4 years ago

2/3a= -15 - a Please Explain

Mathematics

1 answer:

Natali5045456 [20]4 years ago

6 0

Hi there! :)

Answer:

a = -9

Step-by-step explanation:

Starting with:

2/3a = -15 - a

Solve for 'a' by isolating the variable:

2/3a = -15 - a

On the right-hand side of the equal sign, make 'a' have a common denominator of 3 to make the simplifying easier:

2/3a = -15 - 3/3a

Add 3a/3 to both sides:

5/3a = -15

Divide both sides by 5/3, or multiply by its reciprocal (3/5)

5/3a(3/5) = -15(3/5)

a = -9

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3 years ago

Suppose that the inverse demand for a downstream firm is P = 150 − Q. Its upstream division produces a critical input with costs

kozerog [31]

Answer:

The marginal revenue is $MT_d = 116.66$

Step-by-step explanation:

From the question we are told that

The inverse demand for a downstream firm is $P = 150 -Q$

The cost of the critical input produced by upstream division is $CU(Q_d) = 5(Q_d)^2$

The cost of the critical input produced by downstream firm is Cd(Q) = 10Q

Generally

The marginal revenue of the downstream firm - The marginal cost of the downstream firm = Net marginal revenue of downstream

i.e

$MR_d - MC_d = MT_d$

Also

The marginal revenue of the downstream firm - The marginal cost of the downstream firm = Marginal upstream cost

i.e

$MR_d - MC_d = MC_u$

Generally the total revenue of downstream firm is mathematically represented as

$TR = P * Q$

Here Q stands for quantity produced by the downstream firm and TR is the total revenue

$TR = [150 - Q] * Q$

=> $TR = 150Q - Q^2$

Generally the marginal revenue of the downstream firm is mathematically evaluated as

$MR_d =\frac{d (TR)}{d Q} = 150 - 2Q$

Generally marginal downstream first cost is mathematically evaluated as

$MC_d = \frac{d(Cd(Q)) }{dQ} = 10$

Generally the net marginal revenue of the downstream firm is mathematically represented as

$150 - 2Q -10 = MT_d$

=> $MT_d = 140 - 2Q$

Generally the marginal upstream cost is mathematically represented a

$MC _u =\frac{d [CU(Q_d)]}{dQ_d} = 10(Q_d)$

Generally $Q_d = Q$ this because $Q_d$ represents the quantity produced by the downstream firm and also Q is associated with the cost of the downstream quantity