Over the past 5 weeks, demand for wine at Winston’s Winery has been 1,000, 2,300, 3,200, 1,750, and 1,200 bottles. Winston has placed weekly orders for glass bottles of 1,100, 2,500, 4,000, 1,000, and 900 units. (Recall that the sample variance of a data set can be found by using the VAR. S function in Excel or by plugging each x value of the data set into the formula: Variance = Ʃ(x – x¯) / (n - 1)
where x is the mean of the data set and n is the number of values in the set.)
a) What is the variance of demand for Winston’s Winery?
b) What is the variance of orders from Winston’s Winery for glass bottles?
c) What is the bullwhip measure for glass bottles for Winston’s Winery?
d) Is Winston’s Winery providing an amplifying or smoothing effect?

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step-by-step explanation:

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(b) 240

step-by-step explanation:

first, we use the pythagorean formula using the given side lengths to find x. then we use x to find the side lengths. then we add the side lengths to find the perimeter.

pythagorean theorem formula:

a^2 + b^2 = c^2

(x - 20)^2 + (x - 40)^2 = x^2

x^2 - 40x + 400 + x^2 - 80x + 1600 = x^2

x^2 -120x + 2000 = 0

(x - 100)(x - 20) = 0

x - 100 = 0 or x - 20 = 0

x = 100 or x = 20

we see that the solution x = 20 must be discarded because it will give a negative side length and a side length of 0. the only valid solution is x = 100.

perimeter = sum of the lengths of the sides

perimeter = x + x - 20 + x - 40

perimeter = 3x - 60

replace x with 100.

perimeter = 3(100) - 60

perimeter = 300 - 60

perimeter = 240

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step-by-step explanation: