An enterprise exclusively produces two types of products. Know the demand function of the two products above, respectively QP₁ = 280–0.4P + 0.2P; Q = 420 + 0.2P-04P and cost function combination
is C = Q₁² + Q₁Q₂ + Q₂² + 40Q₁ + 180Q2.
In which, P, Q i = 1,2 are the unit price and the i thứth product, respectively
a) Find the quantity of each product for the business to have maximum profit. Then, what is the selling price of the products?
b) Calculate the marginal cost for each optimal product found in a).

for b its (t) and c its (d)

step-by-step explanation:

simplifying

5(x + -6) = 2(x + 3)

reorder the terms:

5(-6 + x) = 2(x + 3)

(-6 * 5 + x * 5) = 2(x + 3)

(-30 + 5x) = 2(x + 3)

reorder the terms:

-30 + 5x = 2(3 + x)

-30 + 5x = (3 * 2 + x * 2)

-30 + 5x = (6 + 2x)

solving

-30 + 5x = 6 + 2x

solving for variable 'x'.

move all terms containing x to the left, all other terms to the right.

add '-2x' to each side of the equation.

-30 + 5x + -2x = 6 + 2x + -2x

combine like terms: 5x + -2x = 3x

-30 + 3x = 6 + 2x + -2x

combine like terms: 2x + -2x = 0

-30 + 3x = 6 + 0

-30 + 3x = 6

add '30' to each side of the equation.

-30 + 30 + 3x = 6 + 30

combine like terms: -30 + 30 = 0

0 + 3x = 6 + 30

3x = 6 + 30

combine like terms: 6 + 30 = 36

3x = 36

divide each side by '3'.

x = 12

simplifying

x = 12

this should .

you bought 31 v bucks

step-by-step explanation:

25+6=31