I need help please. I am uploading the data table along with the questions

1. Recall that revenue is related to price and the number of widgets sold. Assume that the annual widget sales match the annual widget demand. and construct a model for revenue using the model for price that you found in the Price section. remember that 13(3) = .1: *1: 10(3) . Do not calculate R {3)any other way and do not make a scatter plot for R (at) since we do not have any data points given for revenue. 2. Give your model for revenue R[a:). where R{:z:) is the total annual revenue in dollars for :r widgets sold. 3. What number of widgets sold will yield positive revenue? Be sure to answer in complete sentences and to include units. Explain how you found the results. 4. Determine the number of widgets that you should try to sell in order to maximize revenue. What is the maximum revenue? Be sure to answer in complete sentences and to include units. Explain how you found the results. 1. Use the given data to nd a regreSSion line C = me: + b that best ts the total cost data for total annual cost 0 as a function of the annual number of widgets produced :3. Here, total cost is the dependent variable. and number of widgets is the independent variable. Find the regression function for cost, and write it as C(m] = mm + b. 2. Use the data to make a scatter plot. Inciude your regression line on the same plot. Adjust the max/min to displayr the data in a reasonable way. On the pl 0' be sure to o Make a title for the plot "Annual Total Cost of Producing Widgets". 0 Label your axes. Label the horizontal axis "Annual widget production". and label the vertical axis "Annual total cost ($)". 3. Does it look like the regression line models the data well? Why.F or whyr not? 4. Use the regression function you found to estimate 0(0), 0'{ 35}. and C( 105). Give the real-world interpretation of the result of each computation in complete sentences. Be sure to include units. 5. Using your regression function for cost, what is the xed cost? What is the variable cost? Give the real-world interpretation of the result of each computation in complete sentences. Be sure to inciude units. 1. Use the given data to find a regression line that best fits the price-demand data for price p in dollars as a function of the demand a widgets. Here, price is the dependent variable, and demand is the independent variable. Find the regression function for price, and write it as p(x) = max + b. 2. Use the data to make a scatter plot. Include your regression line on the same plot. Adjust the max/min to display the data in a reasonable way. On the plot, be sure to o Make a title for the plot "Price of Widgets". o Label your axes. Label the horizontal axis "Annual widget demand", and label the vertical axis "Price per widget ($)". 3. Does it look like the regression line models the data well? Why or why not? 4. Use the regression function you found to estimate p(0), p(35), and p(105). Give the real-world interpretation of the result of each computation in complete sentences. Be sure to include units. 5. What value of x would make p() = 0? Give the real-world interpretation of the result of the computation in complete sentences. Be sure to include units.1. Recall that prot can be computed in terms of revenue and cost. Assume that the annual widget sales match the annual widget demand and annual widge production. Construct a model for prot using the modelsfor revenue and cost that you found in the Revenue and Cost sections. Give your model for prot 13(3) , where 13(3) is the total annual prot in doilars fora: widgets sold. Use your equations for 12(2) 8.: C [2) to get the equation for P (4:). 2. Plot your models {equations only, [)0 NOT plot any scatter plots] for cost, revenue, and prot on the same graph. Adiust the maximin to display the data in a reasonable way. On the plot, be sure to 0 Make a title for the plot "Total Cost. Revenue, and Prot". 0 Label your axes. Label the horizontal axis "Annual widget production". and label the vertical axis "Total costlrevenuelprot of producing widgets {$l". 0 Label the graphs or include a legend to make it clear which graph is which. 3. What are the brea k-even points? What is the prot at the brea k-even points? Be sure to answer in complete sentences and to include units. Explain how. you found the results. 4. What number of widgets sold will yield positive prot? Be sure to answer in complete sentences and to include units. Explain how you found the results. 5. Determine the number of widgets that you should try to sell in order to maximize prot. What is the maximum prot? Be sure to answer in complete sentences and to include units. Explain how you found the results. The table below contains the price, demand, and total cost data for the production of a widgets. Here p is the price (in dollars) of a widget for an annual demand of x widgets, and C is the annual total cost (in dollars) of producing a widgets per year. Price, Demand, and Total Cost for Widget Production Demand x (widgets) Price p ($/widget) Total Cost C' ($) 10 141 609 20 133 1103 30 126 1618 40 128 2109 50 113 2603 60 97 3111 70 90 3619 80 82 4103 90 79 4601 100 53 5114