Assignment 1

A shoe store is offering shoes that regularly sell for $80.00 at a 25% discount. Halfway through the sale, the manager realizes that the discount percentage is too high, so she must increase the regular price of the shoes and the discount by the same amount so that the discount equals 18%. Write an equation that can be used to solve for X, the amount that must be added to both the discount and the regular price to equal the new discount percentage. 

A large company in the communication and publishing industry hs quantified the relationship between the price of one of its products and the demand for this product as Price = 160 -0.01 xDemand for an annual printing of this particular product. The foxed costs per year (ie. per printing) = $4T 000 and the variable cost per unit = $35. What is the maximum profit that can be achieved? What is the unit price at this point of optimal demand? Demand is not expected to be more than 7,000 units per year. The maximum profit that can be achieved is S. (Round to the nearest dolar.) The unit price at the point of optimal demand is S per unit (Round to the nearest cent)

Diego needs to forecast demand for his company's products, using the data he already possesses. He has an average of previous demand, and he knows the most recent demand because he believes it's a better predictor of future demand. Which forecasting technique should he use?   Note:- Do not provide handwritten solution. Maintain accuracy and quality in your answer. Take care of plagiarism. Answer completely.

Let PX denote the price of product X (and likewise for other subscripts); M, the consumers’ income, and AX, the amount invested in advertising for product X (and likewise for other subscripts). If PY = 6; AZ = 50000; PW = 0.5, when graphing the demand function QDX = 3500 – 250PX – 280PY – 0.02AZ, what is the intercept of the Q-axis? Select one below. (A) 566.7667. (B)-13. (C) 820. (D)1050. 2. Imagine the market for Good X has a demand function of QDX = 40 – PX and a supply function of QSX = 2PX – 20. Suppose the current price of Good X (PX) is 30. Calculate consumer surplus (CS). CS = ________ 3. Imagine the tea market has a demand function of QDX = 10 – 2PX and a supply function of QSX = PX − 2, where PX is the price of the tea. Assuming the price is at equilibrium, calculate the equilibrium price (P*). P* = _________ 4. MacGuffins have a demand function of QD = 70 – P and a supply function of QS = 2P + 10. Determine the price at equilibrium PS = _______ 5.…

A large company in the communication and publishing industry has quantified the relationship between the price of one of its products and the demand for this product as Price = 160 -0.02 × Demand for an annual printing of this particular product. The fixed costs per year (i.e., per printing) = $51,000 and the variable cost per unit = $35. What is the maximum profit that can be achieved? What is the unit price at this point of optimal demand? Demand is not expected to be more than 4,000 units per year. The maximum profit that can be achieved is $144,313. (Round to the nearest dollar.) The unit price at the point of optimal demand is $ per unit. (Round to the nearest cent.)

The demand function for a product is given by P = 4000/ln (x+10), where P is the price per unit in dollars when x units are demanded.i. Find the rate of change of price with respect to the number of units sold when 40 units are sold ii. Find the rate of change of price with respect to the number of units sold when 90 units are sold.iii. Find the second derivative to see whether the rate at which the price is changing at 40 units is increasing or decreasing.

The soft goods department of a large department store sells 184 units per month of a certain large bath towel. The unit purchase cost of a towel to the store is $2.5 and the cost of placing an order has been estimated to be $11. The store's inventory carrying cost is 33% of the purchase cost of the goods. Suppose that the demand rate is a constant and the EOQ model is used. What is the optimal annual cost of placing orders and holding inventory?

A large company in the communication and publishing industry has quantified the relationship between the price of one of its products and the demand for this product as Price = 150 − 0.01 × Demand for an annual printing of this particular product. The fixed costs per year (i.e., per printing) = $50,000 and the variable cost per unit = $40. What is the maximum profit that can be achieved? What is the unit price at this point of optimal demand? Demand is not expected to be more than 6,000 units per year.

QH: Use the demand function D(p)=(p-10)^2 * (p+10)^2 for p values between 0 and 10. Suppose there is no per-item cost. What is the optimal price to set? Calculus (derivatives) won’t be much help here. Figure out a way to do it using technology (desmos? Wolfram alpha? Trying different numbers? spreadsheet?).

Please solve this

Note: The solution should not be hand written.

M3

Examine the following statement and determine the accuracy of the statement.  Cars are considered as luxury items. Thus, a decrease in the consumer's income would result in a decrease in the demand for cars.  Consumer income will affect the demand for a product.  The future expectancy of a product will affect the demand for the product. Future expectancy not only encompasses the future price of a product but also other factors that will affect the demand for product such as advancement in technology and government policy.

ABC is a hypothetical clothing company in malls. Due to fall in mall traffic during pandemic, there is skepticism amongst investors on its future performance. 30 million ABC shares were sold short of its 50 million shares outstanding. ABC share price fell from $20 to $5. The marketing campaign of ABC that switched its retail model from offline to online worked unexpectedly well. ABC's shares jumped to $22. Despite the increase in price, some investors reported a loss. What would be the possible cause? a. Short squeeze O b. The investors have adopted a buy-and-hold strategy O c. High expected volatility O d. Long position closed out prematurely

A large company in the communication and publishing industry has quantified the relationship between the price of one of its products and the demand for this product as Price = 150 - 0.02 x Demand for an annual printing of this particular product. The fixed costs per year (ie., per printing) = $46,000 and the variable cost per unit=$40. What is the maximum profit that can be achieved? What is the unit price at this point of optimal demand? Demand is not expected to be more than 3,000 units per year. The maximum profit that can be achieved is $. (Round to the nearest dollar.) The unit price at the point of optimal demand is $ per unit. (Round to the nearest cent.) Enter your answer in each of the answer boxes.

Jiffy-Pol Consultants is paid $1,000,000 for each percentage of the vote that Senator Sleaze receives in the upcoming election. Sleaze’s share of the vote is determined by the number of slanderous campaign ads run by Jiffy-Pol according to the function S = 100N/(N + 1), where N is the number of ads. If each ad costs $4,900 approximately how many ads should Jiffy-Pol buy in order to maximize its profits? A) 2,853. B) 1428. C)98   D) 477.

A reflecting telescope has a parabolic mirror for which the distance from the vertex to the focus is 34 feet. If the distance across the top of the mirror is 70 inches how deep is the mirror in the center? A) 1225/19584 in. B) 289/35 in. C) 1225/1632 in. D) 1225/136 in. Eliminate the parameter t. Find a rectangular equation for the plane curve defined by the parametric equations. x = t^3 + 1, y = t^3 - 15; -2 lessthanorequalto t lessthanorequalto 2 A) y = x - 16; -7 lessthanorequalto x lessthanorequalto 9 B. y = -x^2; -4 lessthanorequalto x lessthanorequalto 4 C) y = -x - 16; -7 lessthanorequalto x lessthanorequalto 9 D) y = x^3; -3 lessthanorequalto x lessthanorequalto 1 Solve the problem. Round to the nearest if needed. To save for retirement, you decide to deposit $2000 into an IRA at the end of each year for the next 40 years. If the interest rate is 9% per year compounded annually, find the value of the IRA after 40 years. A) $60, 819 B) $24, 330, 719 C) $675, 765 D) $618, 133…

Solve in 30 min

ATV is a price-setting firm and estimates the demand for its cement using a demand function in the linear form: Q = f( P, M, PR) where Qc =  demand for cement/month (in yards) Pc = the price of cement per yard, M = country’s tax revenues per capita, and PR = the price of asphalt per yard. DEPENDENT VARIABLE Qc R- SQUARE P- VALUE ON F     64 0.8093 0.0001             INDEPENDENTVARIABLE PARAMETER ESTIMATE STANDARD ERROR T-RATIO P-VALUE INTERCEPT 8.20  4.01 2.04 0.0461           PC -3.54 1.64 -2.16 0.0357 M 0.64287 0.19 3.38 0.0014 PA 0.7854 0.38 2.07 0.0439 10. Write the resulting regression equation.

Please complete part (a) and part (c). Circle your answer for a thumbs up :)

Diego needs to forecast demand for his company's products, using the data he already possesses. He has an average of previous demand, and he knows the most recent demand because he believes it's a better predictor of future demand.   Which forecasting technique should he use?

Ad rank on Google is calculated using the equation: Ad Rank = f( expected impact of extensions and formats). Maximum CPC Maximum CPM Impression O PageRank OCTR Quality Score,

Based off the attached information, What is the revenue-maximizing room rate if the hotel posts only a single rate good for any day of the week? What weekly occupancy results? Can you discuss how to set this up in Excel using Solver?

(a) The sales of a book publication are expected to grow according to the functionS = 300000(1 − e−0.06t), where t is the time, given in days.(i) Show using differentiation that the sales never attains an exact maximum value.(ii) What is the limiting value approached by the sales function?(b) A poll commissioned by a politician estimates that t days after he makes a statementdenegrating women,the percentage of his constituency (those who support him at the time hemade the statement) that still supports him is given by S(t) =75(t2 − 3t + 25)t2 + 3t + 25The election is 10 days after he made the statement.(i) If the derivative S’(t) may be thought of as an approval rate, derivate the a functionfor his approval rate.(ii) When was his support at its lowest level?(iii) What was his minimum support level?(iv) Was the approval rate positive or negative on the date of the election?(c) Lara offers 100 autograph bats. If each is priced at p dollars, it is that the demand curvefor the bast will be…

In the Markowitz portfolio optimization model defined in equations (8.10) through (8.19) in the text, the decision variables represent the percentage of the portfolio invested in each of the mutual funds. For example,  FS = 0.25  in the solution means that 25% of the money in the portfolio is invested in the foreign stock mutual fund. It is possible to define the decision variables to represent the actual dollar amount invested in each mutual fund or stock. Redefine the decision variables so that now each variable represents the dollar amount invested in the mutual fund. Assume an investor has $50,000 to invest and wants to minimize the variance of his or her portfolio subject to a constraint that the portfolio returns a minimum of 10%. (a) Reformulate the model given by (8.10) through (8.19) based on the new definition of the decision variables. min                   ((R1 − R)2 + (R2 − R)2 + (R3 − R)2 + (R4 − R)2 + (R5 − R)2) s.t.         R1 =…

Demand = -1.5 * price + 25 Moreover, sale of product A leads to sale of another product B of the same company. Additional data is as given below. Unit cost of A (Rs.) 3 Number of units of B with one A 20 Profit from sale of one unit of B (Rs.) 0.85 Develop the optimization model for pricing of A to maximize total profit earned and find the optimal price.

Q2 The manufacturer of a low-sugar bottled juice estimated the following demand equation for its product using data from 25 retail stores around Dover city for the month of November: Q=-2000-15 Pje+ 8.4Px + 0.51 + 0.4A (220) (5.0) (5.6) (0.2) (0.16) R²=0.57 n=25 F = 6.83 Assume the following values for the independent variables: Standard error 1 Q denotes quantity sold per month Pje (denotes price of the bottled juice) = 240 (in cents) P. (denotes price of leading competitor's product) - 300 (in cents) I (denotes per capita income of the standard residential district in which the retail store is located) = 4000 (in dollars) A (denotes monthly advertising expenditure) = 7700 (in dollars) Using this information, answer the following questions: a. Compute elasticities for each variable.. b. Do you think that this firm should cut its price to increase its market share?

Help me plzz

I need some help and can you show me all the steps, please The profit of a firm is described by the following function: f(Q) = -8Q^3 + 30Q^2 – 120Q – 100 where Q is the quantity produced. (A) Find the stationary points for this function. (B) Using the first derivative test, find for what value of Q the profit maximised. (C) Find the feasible values of Q where the graph of the profit function is concave up.