An electrical contractor's records during the last five weeks indicate the number of job requests: week 1 2 3 4 5 requests 20 22 18 21 22. predict the number of requests for week 6 using each of these methods: (a). naive. (b). a four-period moving average. (c). weighted moving average using 0.50 for week 5, 0.30 for week 4, and 0.20 for week 3. (d). exponential smoothing with alpha=.30. use 20 for week 2 forecast.

Which composition of transformations will create a pair of similar, not congruent triangles? a rotation, then a reflectiona translation, then a rotationa reflection, then a translationa rotation, then a dilationmark this and retumsave and exit

Which statement about the cost of the options is true? she would save $1,000 by choosing option b. she would save $5,650 by choosing option a. she would save $11,200 by choosing option b. she would save $11,300 by choosing option a.

Suppose a firm faces a fixed price of output, 푝푝= 1200. the firm hires workers from a union at a daily wage, 푤푤, to produce output according to the production function 푞푞= 2퐸퐸12. there are 225 workers in the union. any union worker who does not work for this firm is guaranteed to find nonunion employment at a wage of $96 per day. a.what is the firm’s labor demand function? b.if the firm is allowed to choose 푤푤, but then the union decides how many workers to provide (up to 225) at that wage, what wage will the firm set? how many workers will the union provide? what is the firm’s output and profit? what is the total income of the 225 union workers? c.now suppose that the union sets the wage, but the firm decides how many workers to hire at that wage (up to 225). what wage will the union set to maximize the total income of all 225 workers? how many workers will the firm hire? what is the firm’s output and profit? what is the total income of the 225 union workers? [hint: to maximize total income of union, take the first order condition with respect to w and set equal to 0.]