8) Market equilibrium

The equilibrium condition for three related markets is defined by the following system of equations, Determine the equilibrium price for each market

9)Investment analysis

A capital of $ 12,000 was invested between three funds: a money market fund that paid 3% annually, municipal bonds that paid 4% annually, and mutual funds that paid 7% annually. The amount invested in mutual funds was $ 4,000 more than that invested in municipal bonds. The total interest earned during the first year was $ 670. How much was invested in each type of fund?

10) Consumer surplus and producer surplus The demand and supply equations for a new type of Smartphone are, where is the price in dollars and represents the number of units. Find the consumer surplus and producer surplus for these two equations

11) Solve the system of equations Ax = b

a) By the Gaussian elemination method (Gauss-Jordan) b) By Cramer's method

Find the solutions of the system of equations in Exercise 11, if changes are made to the vector \ b.

12 ) Investments The capital of $ 12 billion pesos is invested in two investment funds that pay 5% and 3% simple annual interest. The annual interest earned is $ 500 million. How much is invested in each fund?

11P1 P2 Pz = 31 -P1 + 6P2 2P3 = 26 -P1 2P2 + 7P3 = 24 p = 250 0.00006x D p = 120 + 0.00009x. 0 6x + 2y + 5z = 73 7x 3y + z = -1 4x + 8y - 9z = -9 a) bzi = 25 2 (-5) [81 -4 b) b3