Hello there! can you me with this calculus homework? number 35 hanks for stopping by! show your steps and details that will be .

  a, b — see the attachment

  c — S(0) = 15; no units will be supplied at a price of $15 per unit

Step-by-step explanation:

a. The equilibrium production level (x) is where supply matches demand:

  S(x) = D(x)

  2x +15 = 385/(x +1)

  (2x +15)(x +1) = 385 . . . . . multiply by the denominator

  2x^2 +17x -370 = 0 . . . . . put into standard form

  (2x +37)(x -10) = 0 . . . . . . factor the equation

  x = 10 . . . . . the only positive solution

Then S(10) = 2·10 +15 = 35 . . . . the equilibrium price

The equilibrium production level is 10 units at a price of $35 per unit.

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b. See the attachment for the curves.

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c. The y-intercept of the supply curve is S(0) = 15. When x=0, the quantity supplied is zero. The corresponding price is $15 per unit. No suppliers are interested in producing any units at that price.

prime numbers

Step-by-step explanation:

Carrie is finding the set of numbers that contains all even prime numbers.

She starts with the set of all prime numbers. This is the universal set for this problem.

Then she pick only prime numbers that are even into her new set.

prime numbers