Using R STUDIO SOFTWARE I NEED HELP WITH THE FOLLOWING

7. (R required) After being enriched with neutrons, silver (108 Ag) decays by the method of beta minus emission into a stable isotope of cadmium. The entire process can be displayed by the following equation. 108 * 107 We can track how quickly this happens by counting how many B particles are emitted every two seconds. The data set Silver contains this information. a.) Fit an exponential decay model to the data. Either write out the code you use or print and attach it. You will want a vertical shift for this model! b.) What's the half life of this process? 8. (R required) The Cobb-Douglas production function is where P is the total quantity produced (in thousands of units), N is the number of workers, and V is the total value of the equipment (in thousands of dollars). a.) Sketch the contour plot (or print it if you're feeling lazy!) of P(N, V) 1.08No5svo, Your range on both variables should be from 0 to 200. b.) Suppose we fix the value of our equipment at 100. Estimate the average rate of change on the interval [0,50) and [150,200]. (Note, the variable changing is number of workers.) Plot these changes on your graph. c.) Economists discuss something called the "law of diminishing returns". Explain what this phrase could mean in terms of our hiring more people, using your answer from b to support your explanation. How does the shape of the graph reflect this phrase? 7. (R required) After being enriched with neutrons, silver (108 Ag) decays by the method of beta minus emission into a stable isotope of cadmium. The entire process can be displayed by the following equation. 108 * 107 We can track how quickly this happens by counting how many B particles are emitted every two seconds. The data set Silver contains this information. a.) Fit an exponential decay model to the data. Either write out the code you use or print and attach it. You will want a vertical shift for this model! b.) What's the half life of this process? 8. (R required) The Cobb-Douglas production function is where P is the total quantity produced (in thousands of units), N is the number of workers, and V is the total value of the equipment (in thousands of dollars). a.) Sketch the contour plot (or print it if you're feeling lazy!) of P(N, V) 1.08No5svo, Your range on both variables should be from 0 to 200. b.) Suppose we fix the value of our equipment at 100. Estimate the average rate of change on the interval [0,50) and [150,200]. (Note, the variable changing is number of workers.) Plot these changes on your graph. c.) Economists discuss something called the "law of diminishing returns". Explain what this phrase could mean in terms of our hiring more people, using your answer from b to support your explanation. How does the shape of the graph reflect this phrase