You have been presented with the following data and asked to fit statistical demand functions: PERIOD QUANTITY PRICE INCOME ADVERTISING 120 8.00 10 3 2 165 4.00 22 7 3 120 7.00 20 5 4 165 3.00 20 8 5 180 4.00 30 6 90 10.00 19 6 7 150 4.00 18 10.2 8 190 1.60 25 9.3 9 160 5.00 30 8 10 200 2.00 35 9.5 a. Linear Relationship i. Use any multiple regression packages to estimate a linear relationship between the dependent variable and the independent variables. i. Is the estimated demand function "good"? Why or why not? i. Discuss the economic implications of the various coefficients. (12) b. Non-linear relationship. i. Select and estimate any form of non-linear relationship. ii. Is the estimated demand function "good"? Why or why not? Compare with the linear form above. Elaborate.

PRICE (Delars per tor 18 24 M 4 12 24 QUANTITY (Thousands of tons) Supply Demand O Total Revenue (Thousands of Dollars) Demand Supply Several growers are happy with this advancement in technology because now they can sell more crops, which they believe will lead to increases in revenue. Using elasticities, you will be able to determine whether this price change will lead to a rise or fall in total revenue in this market. Using the midpoint method, the price elasticity of demand for pistachios between the price levels of $15 and 59 per ton is 0.33, meaning that between these two points, demand is inelastic. Thus, you can conclude that the grower's claim is incorrect because total revenue will increase due to the technological improvement. Confirm your previous conclusion by calculating total revenue in the pistachio market before and after the technological improvement. Enter these values in the following table. Before Technological Improvement After Technological Improvement

One of the growers is excited by the price increase caused by the blight because he believes it will increase revenue in this market. As an economics student, you can use elasticities to determine whether this change in price will lead to an increase or decrease in total revenue in this market. Using the midpoint method, the price elasticity of demand for soybeans between the prices of $10 and $12 per bushel is , which means demand is between these two points. Therefore, you would tell the grower that his claim is , because total revenue will as a result of the blight. Confirm your previous conclusion by calculating total revenue in the soybean market before and after the blight. Enter these values in the following table. Before Blight After Blight Total Revenue (Millions of Dollars)

Case 1:  A local bakery has noticed a decrease in the demand for their pastries. They found out that a new bakery in town is offering similar pastries at a lower price. What should the local bakery do based on demand analysis? Case 2: A clothing store wants to estimate the demand for a new line of summer dresses. They have historical sales data for similar dresses. What method should they use for demand estimation? Case 3: A tech company is launching a new product. They want to forecast the demand for the product for the next year. They don't have historical sales data for similar products. What method should they use for demand forecasting? Case 4: A manufacturing company is trying to determine the cost of producing a new product. They know that the cost of raw materials and labor will increase with the number of units produced, but the cost of the machinery will remain the same regardless of the number of units produced. How should they categorize these costs in their cost analysis?…