i have solved A. and B. those Numbers and equations are needed in there on the sticky note. im stuck on C-F

2. CASE STUDY This is a continuation of the case study from week 3. You will need your answers from that case study to do this one. Recall that the Cobb-Douglas production function is given by Y = AIR- You are studying an imaginary company where B is the following. The blank spot in the table below is the last digitofur student in section is with a) B=0.4 b) 7.3682 Lak -66 For example, if my ID were 951234567 and my discussion section were with Jacob Lebovic then I would use B -0.67 The imaginary company has the following numbers for 2019. Annual labor of 20 million hours (which corresponds to about 10,000 full-time work- ers), Capital investment of 100 million dollars, and Annual output of 1 million widgets. (a) What is your value of 3? (b) What is the equation K = }(L) you found in Question (d) from Written Homework 3? (c) In 2014, the annual labor used was 18 million hours. Assume that the amount of labor employed by the company is increasing linearly. Lett be the time in years since 2014. Write the labor L = g(t) as a linear function of t. (a) Compute the derivative of f(g(t)) with respect to time t. (e) At what rate is capital predicted to be changing with respect to time in 2019? Include units. MATH 241 3 WRITTEN HOMEWORK DUE NOVEMBER 3, 2020, () Use your answer to the previous part and approximation by increments to estimate the amount of capital used in 2020. Then use f60) to compute the amount of capital used in 2020, if the amount of labor continues to grow linearly. How close are the two answers? Email address: lipahit tuoregon.edu 2. CASE STUDY This is a continuation of the case study from week 3. You will need your answers from that case study to do this one. Recall that the Cobb-Douglas production function is given by Y = AIR- You are studying an imaginary company where B is the following. The blank spot in the table below is the last digitofur student in section is with a) B=0.4 b) 7.3682 Lak -66 For example, if my ID were 951234567 and my discussion section were with Jacob Lebovic then I would use B -0.67 The imaginary company has the following numbers for 2019. Annual labor of 20 million hours (which corresponds to about 10,000 full-time work- ers), Capital investment of 100 million dollars, and Annual output of 1 million widgets. (a) What is your value of 3? (b) What is the equation K = }(L) you found in Question (d) from Written Homework 3? (c) In 2014, the annual labor used was 18 million hours. Assume that the amount of labor employed by the company is increasing linearly. Lett be the time in years since 2014. Write the labor L = g(t) as a linear function of t. (a) Compute the derivative of f(g(t)) with respect to time t. (e) At what rate is capital predicted to be changing with respect to time in 2019? Include units. MATH 241 3 WRITTEN HOMEWORK DUE NOVEMBER 3, 2020, () Use your answer to the previous part and approximation by increments to estimate the amount of capital used in 2020. Then use f60) to compute the amount of capital used in 2020, if the amount of labor continues to grow linearly. How close are the two answers? Email address: lipahit tuoregon.edu