PLEASE ANSWER QUESTIONS 2, 3, 4

2.) Assume that product Z is made of two units of A and four units of B. A is made of three units of C and two units of D. D is made of two units of E. Currently we have two units of Z, two units of A, two units of B, four units of C, four units of D, and ten units of E. If an order for 15 units of Z is received, how many additional units of E are needed to fulfill this order?

(Hint: draw the product tree, mark the amounts available, and systematically move down from Z to see how many extra are needed)

We need to select between city A and city B for a location for a factory. Factors and ratings are given below:

factor	city A	city B
utility rates	100	115
availability of skilled labor	78	75
tax rates	40	35
transportation	46	38
proximity to suppliers	35	34
quality of life	19	16

3.) There are six factors. If all factors are to be equally weighted, we could multiply each rating by one and add them up.

Suppose the factor 'tax rates' must be given twice the weight of all other factors. Now we can multiply each rating by 1 except for 'tax rates'. For 'tax rates', we can multiply its rating by 2. Now we can add these results to find the total weighted rating.

Following the above scheme (i.e. 'tax rates' factor is given a weight twice as much as the weights of all others), what is the total weighted rating for city A?

4.) Three distribution centers, A, B, and C, are located at the following (X, Y) coordinates: A, (20, 130); B, (180, 0); and C, (200, 200). A factory is to be constructed to distribute a new product through these warehouses. The annual volumes expected to be shipped through the three warehouses is forecasted to be 20 million units through A, 100 million through B and 50 million through C. Using the centroid method, what should the Y coordinate of the new factory be? (provide one decimal place)