Solve the 2 Market commodities of market equilibrium using Cramer's Rule
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- 23. Consider a simple economy with just two industries: farming and manufacturing. Farming consumes 1/2 of the food and 1/3 of the manufactured goods. Manufacturing consumes 1/2 of the food and 2/3 of the manufactured goods. Assuming the economy is closed and in equilibrium, find the relative outputs of the farming and manufacturing industries.Redo Exercise 5, assuming that the house blend contains 300 grams of Colombian beans, 50 grams of Kenyan beans, and 150 grams of French roast beans and the gourmet blend contains 100 grams of Colombian beans, 350 grams of Kenyan beans, and 50 grams of French roast beans. This time the merchant has on hand 30 kilograms of Colombian beans, 15 kilograms of Kenyan beans, and 15 kilograms of French roast beans. Suppose one bag of the house blend produces a profit of $0.50, one bag of the special blend produces a profit of $1.50, and one bag of the gourmet blend produces a profit of $2.00. How many bags of each type should the merchant prepare if he wants to use up all of the beans and maximize his profit? What is the maximum profit?Osteoporosis is a degenerative disease that primarily affects women over the age of 60. A research analyst wants to forecast sales of StrongBones, a prescription drug for treating this debilitating disease. She uses the model Sales = B0 + B1 Population + B2 Income + ε, where Sales is the sales of Strong Bones (in $1,000,000s), Population is the number of women over the age of 60 (in millions), and Income is the average income of women over the age of 60 (in $1,000s). She collects data on 29 cities across the United States and obtains the following regression results: Coefficients Standard Error t Stat p-Value Intercept Population Income 10.15 3.13 3.24 0.0071 8.45 1.11 7.61 0.0047 7.45 6.12 1.22 0.3468 a. What is the sample regression equation? Note: Enter your answers in millions rounded to 2 decimal places. Sales = + Population + Income b-1. Interpret the coefficient of population. As the number of women over the age of 60 increases by 1 million, sales of Strong Bones is predicted to…
- Osteoporosis is a degenerative disease that primarily affects women over the age of 60. A research analyst wants to forecast sales of StrongBones, a prescription drug for treating this debilitating disease. She uses the model Sales = B0 + B1 Population + B2 Income + ε, where Sales is the sales of Strong Bones (in $1,000,000s), Population is the number of women over the age of 60 (in millions), and Income is the average income of women over the age of 60 (in $1,000s). She collects data on 29 cities across the United States and obtains the following regression results: Intercept Population Income Coefficients 10.15 Standard Error t Stat p-Value 3.13 3.24 0.0071 8.45 1.11 7.61 0.0047 7.45 6.12 1.22 0.3468 a. What is the sample regression equation? Note: Enter your answers in millions rounded to 2 decimal places. Sales = + Population + Income b-1. Interpret the coefficient of population. ○ As the number of women over the age of 60 increases by 1 million, sales of Strong Bones is predicted…The demand and supply functions for two interdependent commodities are given by:Qd1 = 205 − 2.5P1 − P2Qs1 = 1.5P1 − 30Qd2 = 147.5 − 0.5P1− 1.5P2Qs2 =P2 − 60Determine the equilibrium price and quantity for this two-commodity model.Use a matrix method to find the equilibrium prices and quantities where the supply and demand functions for Good 1, Good 2 and Good 3 are as