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question:
Please find the effect of Y and r if there is an increase in the tax rate. Use the following equations and evaluate the total derivative.
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- Question 2. Company XYZ produces and sells widgets. Production is done at two separate factories, one in Mississauga and one in Scarborough. An analysis reveals that in the Mississauga location, it costs 1 = 59³+10000 (dollars) 50% to produce q widgets in a month, while in the Scarborough location it costs Cs(q) =q² + 20000 (dollars) СM (9) to produce q widgets in a month. The company needs to fulfill orders for a total of 400 widgets in the month of March 2023. (a) How many widgets should each location be assigned to produce so that the total cost of production is minimized? (b) Due to differences in quality control and shipping costs, company XYZ decides to sell widgets produced at each factory at different price levels: widgets produced in Mississauga are to be sold for $2000 each, and widgets produced in Scarborough for $2800 each. Show that it is most profitable for the company to allocate all production to Scarborough.Electrical Components Profit A company’s dailyprofit from the production and sale of electrical components can be described by the equation P(x) =6.45x - 2000 dollars, where x is the number of unitsproduced and sold. What level of production andsales will give a daily profit of more than $10,900?A company has established that the relationship between the sales price for one of its products and the quantity sold per month is approximately p = 75 – 0.1D units (D is the demand or quantity sold per month and p is the price in dollars). The fixed cost is $1,000 per month and the variable cost is $30 per unit produced. Solve, a. What is the maximum profit per month related to thisproduct? b. What is the range of profitable demand during a month?
- It is estimated that a grocer’s daily profit from the sale of two brands of cherry juice is given by thefunction:P(x,y) = (x - 30)(70 - 5x + 4y) + (y – 40)(80 + 6x – 7y) centswhere x is the price per can of Brand V Juice and y is the price per can of Brand Triple V Juice. CurrentlyBrand V Juice sells for 50 cents per can and Brand Triple V Juice sells for 52 cents per can.i. Use marginal analysis to estimate the change in the daily profit that will result if the grocer raises theprice of Brand Triple V by one cent per can while keeping the price of Brand V unchanged.ii. Find a stationary point of the daily profit function. Classify this stationary point.e) i) Given the following Y = C +1 C = 25 + 0.080Yd I = 55 G = 40 T = 10 + 0.10Y Find Y,C, and T.am. 285.
- (2) A study indicates that spending money on pollution control is effective up to a point but eventually becomes wasteful. Suppose it is known that when x million dollars is spent on 100-F 0.03x² +9 controlling pollution, the percentage of pollution removed is given by P(x)= (i) At what rate is the percentage of pollution removal P(x) changing when 16 million dollars is spent? Is the percentage increasing or decreasing at this level of expenditure?Let Var(X) = 25 and Z= 2X + 5 Compute Var (Z)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)
- PER-UNIT COST (Dollars) Jouet is a profit-maximizing firm producing toy trains-a capital-intensive good-which are sold in its home country, France, and abroad in Russia. Jouet chose foreign production as a method of penetrating the Russian market and has to decide whether it is more efficient to directly invest in ussia to establish a production subsidiary or to license the technology to a Russian firm to produce its goods. n the following graph, AVCR is the average variable cost curve of a Russian firm producing toy trains. (This curve represents costs such as labor nd materials.) The curve ATCsidiary represents the total unit costs Le Jouet will face if it establishes a subsidiary in Russia. ATCudary AVC Russia 15 20 4 60 75 90 105 120 130 150 PRODUCT (Thousands)Suppose that sales revenue (S) depends upon the quantity of advertising (A), in a relationship estimated as: S= 14 + 16A-2A2 Task: how many unit of advertising should be undertaken to maximize sales?The following figure represents the Marginal Abatement Cost curves of two paper towel factories: Unbleached Factory, Number 1 and Bleached Factory, Number 2 in the figure. Their MAC functions are: MAC1 = 61.5E1 and MAC2 = 6 -0.75E2 E1 and E2 are the emissions of the two firms in tonnes.
