ALCULUS Rajni Joshi 04/28/23 8:39 A Question 22 of 34 This quiz: 34 point(s) possible This question: 1 point(s) possible Subm On Arachnid Island the monthly demand for x cans of Spider Repellent is related to its price p (in dollars) where p = 80el- 0.005x K a. If the cans sold for a penny each, what number of cans would be Revenue demanded per month? cans (Round to the nearest whole number as needed.) What is the revenue at this price? $ (Round to the nearest cent as needed.) b. Write the formula for the revenue in terms of x, the number of cans demanded. Produce a graph in your calculator. R(X) = c. What price would give a revenue of $0? Hint: Use the demand curve 80e1 - 0.005% $ per can (Round to the nearest cent as needed.) AMarginal Revenue Q Search aQuestion 22 of 34 This question: 1 point(s) possible SI On Arachnid Island the monthly demand for x cans of Spider Repellent is related to its price p (in dollars) where p = 80e - 0.005x c. What price would give a revenue of $0? Hint: Use the demand curve Revenue 80e1 - 0.005x $per can (Round to the nearest cent as needed.) Why is the revenue $0 at this price? Choose the correct answer below. O A. The cans are given out at no charge, compliments of the management. O B. At this price per can, no one is buying any repellent. O C. The spiders stole all of the revenue. d. Use a grapher with a Maximum command to find each of these the maximum revenue, the demand for cans for which revenue is highest, and the price of repellent which will generate this level of demand. Marginal Revenue Q Search a PThis question: 1 point(s) possible On Arachnid Island the monthly demand for x cans of Spider Repellent is related to its price p (in dollars) where p = 80e -0-005x U C. Ine spiders stole all Of the revenue. Revenue d. Use a grapher with a Maximum command to find each of these the maximum revenue, the demand for cans for which revenue is highest and the price of repellent which will generate this level of demand. When the price of a can is $ the demand is | cans per month which gives a maximum revenue of $ e. Find the formula for the marginal revenue R'(x) and simplify. Then enter the formula in your grapher. Once simplified, the marginal revenue can be written in the form R'(X) = ( - ax + ble - 0.005x What linear factor ( - ax + b) is multiplied by e -0:009^ in the formula for the Marginal Revenue maminal revenue feature? arch aCULUS Question 22 of 34 This quiz: 34 point(s) possible This question: 1 point(s) possible On Arachnid island the monthly demand for x cans of Spider Repellent is related to its price p (in dollars) where p = 80e1 -0.095x e. Find the formula for the marginal revenue R '(x) and simplify. Then enter A Revenue the formula in your grapher. Once simplified, the marginal revenue can be written in the form R'(x) = (- ax + b)el - 0.005x What linear factor ( - ax + b) is multiplied by e:00 in the formula for the marginal revenue feature? R' (x) = ( be1-0.005x f. For what value of x is R(x) increasing the fastest? Find the marginal revenue at this value and complete the blanks: When the demand x = |cans of repellent, the revenue is climbing at its highest rate of $ increase in revenue for every additional can produced. (Round to the nearest cent as needed.) Marginal Revenue 80 a P