Suppose ABC Corp. spends $300,000 per year on some basic level of advertising, regardless of its revenues. In addition, the company spends 25 percent of each dollar of revenue on extra advertising. Write a mathematical equation that describes the functional relation between advertising (A) and revenue (R). A=??? (Enter your response as an expression.)
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- Please provide detailed explanation on your arrival at your answers. I cannot achieve proper answers. For each of the following functions: identify the appropriate objective function. identify all critical points determine whether these critical points represent local maxima, local minima, saddle points, or inflection points z = 3x2-xy+2y2-4x-7y+12 (for this question, we're thinking of a firm selling two products ("good 1" and "good 2") Q1 = 14 - 0.25P1 Q2 = 24 - 0.5P2 TC = Q12+5Q1Q2+Q22 (pi) = 25x-x2-xy-2y2+30y-28buyers in the chocolate market demand 200 units of chocolate when price is zero and decrease the purchase of chocolates by 2 units for every one unit increase in price. write down the equation of the demand function in the form of Q= f(P)Let say you have 3 products: cake, candy, and bread. The revenue per cake is $8. The revenue per candy is $4. The revenue per bread is $5. Define the number of cake, candy, and bread you are about to produce per day as x, y, and z respectively. The manager wants that the number of candy is at least equal to the total number of cake and bread. What is the correct linear constraint to show this? Group of answer choices z – x – y ≥ 0 x – 2y – z ≥ 0 y – x – z ≥ 0 x – y – z ≥ 0
- Explain the technique of constrained optimization in relation to utility functions and how it relates to consumer equilibrium.Create five questions covering the below question topic along with ideal answersthat you would expect: Functions (Equilibrium)Suppose a certain outlet chain selling appliances has found that for one brand of home theater, the monthly demand is 350 when the price is $700. However, when the price is $660, the monthly demand is 450. Assuming that the demand function for this system is linear, write the equation for the demand function. Use p for price and q for quantity. ___________________
- The demand function for electric fans is as follows: • Qx = 100 – 0.5Px + 0.03I + 3Py where: • Qx = quantity demanded of electric fans • Px = average price of an electric fan • I = average income • Py = average price of an air conditioner Assume that the average price of an electric fan is $50, an air conditioner costs $400 and average income is $4,000. Determine or calculate the following: 1. The slope of the demand curve, 2. If air-conditioners are complimentary or substitutionary to electric fans with respect to the coefficient and, 3. If electric fans are a normal or inferior good with respect to the income coefficient.Find the optimal solution for the following problem. Minimize C = 4x + 12y subject to 3x + 5y ≥ 12 6x + 2y ≥ 10 and x ≥ 0, y ≥ 0. What is the optimal value of x? What is the optimal value of y? What is the minimum value of the objective function?Find the optimal solution for the following problem. Maximize C = 4x + 12y subject to 3x + 5y ≤ 12 6x + 2y ≤ 10 and x ≥ 0, y ≥ 0. What is the optimal value of x? What is the optimal value of y? (Round your answer to 3 decimal places.) What is the maximum value of the objective function? (Round your answer to 3 decimal places.)
- Ammongas´'s demand depends on many factors, but can be presented in simplified form as: P = 8,000,000 - 240,000 * Q, where “Q” are standard plants sold per. year. Make a graphic illustration of the P-function, where it applies that the price can not be negative and a negative number of plants can not be demanded. Then derive the TR function and the MR function mathematically.Spreadsheet exercises. Suppose that the market for video games is competitive with demand function Qd = 130 − 4p + 2Y + 3pm − 2pc, where Qd is the quantity demanded, p is the market price, Y is the monthly budget that anaverage consumer has available for entertainment, pm is the average price of a movie, and pc is the price of a controller that is required to play these games. 1. Given that Y = $100, pm = $30, and pc = $30, use Excel to calculate quantity demanded for p = $10 to p = $80 in $5 increments. Use Excel’s charting tool to draw the demand curve. 2. Now, Y increases to $120. Recalculate the demand schedule in part 1. Use Excel’s charting tool to draw the new demand curve in the same diagram. 3. Let Y = $100 and pc = $30 again, but let pm increase to $40. Recalculate the demand schedule in part 1. Use Excel’s charting tool to draw the graph of the new demandcurve. 4. Let Y = $100, pm = $30, and pc increase to $40. Recalculate the demand schedule in part 1 and use Excel to draw…A Gain from Trade occurs when a unit is sold for a price greater than the unit of the good is worth to a seller and, simultaneously, bought for a price less than the good is worth to a buyer. Consider the first 2 units of the good that would be sold in this market (the vertical red line on the graph). which answer choices are correct for the graph given bellow?