6.Find the market equilibrium point for these equations:y = 48 – 3x²a)y = x² +4x+16 y = 10 – 3x?b)y = 4 +x² +2x

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Answered: Find the market equilibrium point for…

Elementary Algebra

17th Edition

ISBN:9780998625713

Author:Lynn Marecek, MaryAnne Anthony-Smith

Publisher:Lynn Marecek, MaryAnne Anthony-Smith

Chapter4: Graphs

Section4.1: Use The Rectangular Coordinate System

Problem 4.16TI: Find three solutions to this equation: y=4x+1 .

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Find three solutions to this equation: y=4x+1 .
In a study of the influence of financial institutions on bond interest rates in a certain country, quarterly data over a period of 12 years were analyzed. The postulated model was y¡ = Bo + B₁×₁¡ + B₂X2; + &¡, where y; is the change over the quarter in the bond interest rates, X₁₁ is the change over the quarter in bond purchases by financial institutions, and X2i is the change over the quarter in bond sales by financial institutions. The estimated regression coefficients are b₁ = 0.057 and b₂ = -0.033. Interpret these estimates. What is the correct interpretation of the coefficient estimates? Select the correct choice below and, if necessary, fill in the answer boxes within your choice. A. Each percent increase in the bond interest rates leads to a change in the estimated amount of bonds purchased by financial institutions by and a decrease in bond sales by financial institutions by. B. Each additional bond purchased by financial institutions leads to a change in the estimated bond…
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If company A manufactures t-shirts and sells them to retailers for US$9.80 each.It has fixed costs of $2625 related to the production of the t-shirts,and the production cost per unit is US$2.30. Company B also manufactures t-shirts and selll them directly to consumers. The demand for its product is p=15−x125,its production cost per unit is US$5.00 and its fixed cost are the same as for company A . (i) Derive the total revenue function,R(x) for company A. (ii) Derive the total cost function,C(x) for company A. (iii) Derive the profit function,Π(x) for company A. (iv) Using a spreadsheet,create a table for showing x,R(x)?,C(x) for company A in the domain x=50,100,150,200,250,300,350,400,450. (v) Graph the functions from (d) above on the same axes. (vi) From your graph,determine the break-even level of output for company A. (vii) Derive the total revenue function,R(x) for company B. (viii) Derive the profit function,Π(x) for company B. (ix) How many t-shirts must company B sell to in…
If company A manufactures t-shirts and sells them to retailers for US$9.80 each.It has fixed costs of $2625 related to the production of the t-shirts, and the production cost perunit is US$2.30. Company B also manufactures t-shirts and selll them directly to consumers.The demand for its product is p = 15 −x125 , its production cost per unit is US$5.00and its fixed cost are the same as for company A .(i) Derive the total revenue function, R(x) for company A.(ii) Derive the total cost function, C(x) for company A.(iii) Derive the profit function,Π(x) for company A.(iv) Using a spreadsheet, create a table for showing x, R(x)?, C(x) for company Ain the domain x = 50, 100, 150, 200, 250, 300, 350, 400, 450.(v) Graph the functions from (d) above on the same axes.(vi) From your graph, determine the break-even level of output for company A.(vii) Derive the total revenue function,R(x) for company B.(viii) Derive the profit function,Π(x) for company B.(ix) How many t-shirts must company B sell…
If company A manufactures t-shirts and sells them to retailers for US$9.80 each.It has fixed costs of $2625 related to the production of the t-shirts, and the production cost perunit is US$2.30. Company B also manufactures t-shirts and selll them directly to consumers.The demand for its product is p = 15 −x125 , its production cost per unit is US$5.00and its fixed cost are the same as for company A. 1. Using a spreadsheet, create a table for showing x, R(x)?, C(x) for company Ain the domain x = 50, 100, 150, 200, 250, 300, 350, 400, 450.2. Graph the functions from (d) above on the same axes.3. From your graph, determine the break-even level of output for company A
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Is (-2 , 2) a solution of y = 1/2x + 3 ?
If company A manufactures t-shirts and sells them to retailers for US$9.80 each. It has fixed costs of $2625 related to the production of the t-shirts, and the production cost per unit is US$2.30. Company B also manufactures t-shirts and selll them directly to consumers.The demand for its product is p = 15 −x 125, its production cost per unit is US$5.00 and its fixed cost are the same as for company A . (i) Derive the total revenue function, R(x) for company A. (ii) Derive the total cost function, C(x) for company A. (iii) Derive the profit function, Π(x) for company A. (iv) Using a spreadsheet, create a table for showing x, R(x)?, C(x) for company A in the domain x = 50, 100, 150, 200, 250, 300, 350, 400, 450.(v) Graph the functions from (d) above on the same axes. (vi) From your graph, determine the break-even level of output for company A. (vii) Derive the total revenue function, R(x) for company B. (viii) Derive the profit…
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Find the market equilibrium point for these e y = 48 – 3x? a) y = x? +4x+16