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DEMAND and SUPPLY FUNDAMENTALS: Shifts in Demand or Supply questions:
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- The following table shows worldwide sales of a certain type of cell phone and their average selling prices in 2012 and 2013. Year 2012 2013 Selling Price ($) 395 325 Sales (millions) 741 1,133 (a) Use the data to obtain a linear demand function for this type of cell phone. (Let p be the price, and let q be the demand). q(p) = Use your demand equation to predict sales if the price is lowered to $255. million phones (b) Fill in the blank. For every $1 increase in price, sales of this type of cell phone decrease by million units.A street vendor constructs the table below on the basis of sales data. (Note: Consumer expenditure and revenue are terms for the same thing from different perspectives. Consumer expenditure is the amount of money that consumers spend on a product, and revenue is the amount of money that businesses take in by selling the product.) Sales of Roses, Given the Price per Dozen Sales (dozen roses) Price (dollars) 20 25 30 32 (a) Find a quadratic function for the model of the data that gives the quantity sold at x dollars, data from 20 sxs 32. (Round all numerical values to three decimal places.) S(x) = 169 159 134 94 (b) Find a function for the model for consumer expenditure (revenue for the vendor), where x is the price in dollars, data from 20 sxs 32. (Round all numerical values to three decimal places.) R(x)= Need Help? (c) What price should the street vendor charge to maximize consumer expenditure? (Round your answer to two decimal places.) (d) If each dozen roses costs the vendor $11,…Suppose you are analyzing the relationship between a firm's advertising budget and its sales volume. Which statement is correct? Group of answer choices Advertising budget is the independent variable. You predict the advertising budget with sales volume. In a scatterplot, sales volume should be on the x-axis and advertising budget should be on the y-axis. Sales volume is the independent variable. thanks
- potter makes and sells ceramic bowls. It is observed that when the price is $32, only 9 bowls are sold in a week; but when the price decreases to $10, weekly sales rise to 20. Assuming that demand can be modelled by a linear function, (a) obtain a formula for Pin terms of Q (b) Calculate for the slope of the curve if the relationship between p and Q is linear. (c) comment on the likely reliability of the modelThe demand for a 12-ounce bottle of sparkling water is given in the table. Demand Schedule for Sparkling Water in 12-ounce Bottles Price (dollars per bottle) 2.29 2.69 3.09 3.49 3.89 4.29 Demand (million bottles) 25 9 3 2 1 0.5 (a) Write the function for the exponential model that gives demand in million bottles, as a function of price per bottle p, with data from 2.29 s ps 4.29. (Round all numerical values to two decimal places. Be sure you use the correct input variable p.) D(p) = Does the model indicate a price above which consumers will purchase no bottles of water? The model is exponential and ---Select--- the horizontal axis. Therefore there is --Select--- above which consumers will not purchase water. (b) What quantity of water will consumers purchase when the market price is $4.09? (Round your answer to two decimal places.) million bottles (c) Calculate the amount that consumers willing and able to spend to purchase the quantity found in part (b). (Round your answer to one…The multivariate demand function below will be needed for questions 12-18. Setting: Grapple, Inc. is a leading seller of laptop personal computers. However, they want to become a leading tablet seller, too. Your marketing department, aided by your economics staff, has estimated a function to help you in the quest for market leader in tablets. The variables are defined after the function. Qg = the number of Grapple tablet computers demanded per week. Pg = the price of each new Grapple tablet (in $). Ph = the price of each Hewpaq tablet (in $). Pr = the price of each Ronova tablet. Pdv = the price to equip a tablet with Holographic digital video (in $, this is an upgrade option that enables three-dimensional graphics on a tablet. Two-dimensional graphics is standard equipment). Psc = the price of various screen sizes (in $, a 8 inch is standard, but upgrade options are 10 inch extra sharp, 12 inch, 12 inch extra sharp, Each also has a touch-screen option. The upgrades…
- Suppose consumers will demand 40 units of product when the price is $12 and 25 units when the price is $18 each. Please detailed workin. Find a linear equation for the: (i). Demand curve. (ii). Demand function. (b). Find the price per unit when 30 units are demanded.The table shows the approximate increase in sales that an additional $100 spent on advertising, at various levels, can be expected to generate. Increase in Revenue Due to an Extra $100 Advertising When Advertising Is Already at a Given Level Expenditures, x (hundred dollars) 25 50 75 100 125 150 175 Revenue Increase, R (thousand dollars) 4 59 94 107 104 78 33 (a) Find the function of the quadratic model that gives the approximate increase in revenue in thousand dollars per hundred dollars that occurs when an additional $100 is spent on advertising, where x is the amount in hundred dollars already spent on advertising, with data from 25 ≤ x ≤ 175. (Round all numerical values to three decimal places.) R'(X) = thousand dollars per hundred dollars (b) Use the model in part (a) to write the function of the model for the total sales revenue R in thousand dollars when x hundred dollars is spent on advertising. Use the fact that revenue is approximately $876,000 when $5000 is spent on…Please find the effect of Y and r if there is a decrease in the tax rate. Use the following equations and evaluate the total derivative.
- The demand for a 12-ounce bottle of sparkling water is given in the table. Demand Schedule for Sparkling Water in 12-ounce Bottles Price (dollars per bottle) 2.29 2.69 3.09 3.49 3.89 4.29 Demand (million bottles) 25 9 3 2 1 0.5 (a) Write the function for the exponential model that gives demand in million bottles, as a function of price per bottle p, with data from 2.29 ≤ p ≤ 4.29. (Round all numerical values to two decimal places. Be sure you use the correct input variable p.) D(p) = Does the model indicate a price above which consumers will purchase no bottles of water? The model is exponential and ---Select--- ✓the horizontal axis. Therefore there is ---Select--- above which consumers will not purchase water. (b) What quantity of water will consumers purchase when the market price is $3.87? (Round your answer to two decimal places.) million bottles (c) Calculate the amount that consumers willing and able to spend to purchase the quantity found in part (b). (Round your answer to one…Assuming that each of the following functions are linear, give an economic interpretation of the slope of the function: a. F(q) is the revenue from producing q units of output b. G(x) is the cost of purchasing x units of some commodity c. H(p) is the amount of commodity demanded by households when its price is p d. C(Y) is the national consumption when national income is Y e. S(Y) is the total national savings when national income is YAssuming that each of the following functions are linear, give an economic interpretation of the slope of the function: F(q) is the revenue from producing q units of output b. G(x) is the cost of purchasing x units of some commodity H(p) is the amount of commodity demanded by households when its price is p d. C(Y) is the national consumption when national income is Y e. S(Y) is the total national savings when national income is Y a. С.