. It has been shown that given the process y = a+ßt+&t, Yt is not stationary. Show that the first difference of yt, dyt – Yt– Yt-1; is indeed stationary.
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- 5. Consider the process where S0 = 0 and {ut : t ∈ Z} is an i.i.d. random variable with N(0,σ2). a) DeterminethemeanandcovariancefunctionoftheprocessSt.Isthisprocessstrictlystationary?Second-order stationary? b) Show that the process Yt = (1 − L)St , t = 1,2,... is strictly stationary. Compute its mean and autocovariance function.Oregon Fiber Board makes roof liners for the automotiveindustry. The manufacturing manager is concerned aboutproduct quality. She suspects that one particular failure, tears in the fabric, is related to production-run size. An assistantgathers the following data from production records: a. Draw a scatter diagram for these data.b. Does there appear to be a relationship between run sizeand percent failures? What implications does this datahave for Oregon Fiber Board’s business?Jenny Company produces two types of pants: long pants and short pants. The cost of making a pair of short pants and a pair of long pants are RM 75 and RM 95 respectively. In one week, the company must produce at least 150 pants of each type. The minimum weekly production is 500 pants. The short pants are sold for RM 120 each and the long pants for RM 150 each. Using the graphical method, find: a. The number of short pants and long pants to be made in a week in order to minimise the total production cost. b. The profit made at the minimum weekly production cost.
- Anation with fixed quantities of resources is able to produce any of the following combinations of carpet and carpet looms: Yards of Carpet (Millions) Carpet Looms (Thousands) 75 60 20 45 35 30 45 15 50 50 These figures assume that a certain number of previously produced looms are available in the current period for producing carpet. To answer this question, assume carpet looms is on the y-axis and yards of carpet is on the x-ais The plot of these points that make up the PPF has a vertical intercept of and a horizontal intercept of This PPF would be (Enter your responses as a wvhole number) bowed out a straight lineIt 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.i need help with this question 8 from my microeconmics assigments. i have already gotten it wrong twice.