Choose the basic answer to each question. (The solution is clear handwriting in Word)

Q- T/F 1. The Graphical Method in Linear programming Problem can also work when there are more two decision variables.

2. A vendor selling vegetables on a street corner is an example of multichannel, single-phase system

3. If the utilization factor for any M/M/1 model is 0.80, then the percent idle must be 0.30 (use formula)

4. IF SSE=20 and SST=40, then the value of coefficient of determination is 0.5 (use formula)

5. Forecast error is obtained by subtracting the forecast value from the actual value (use formula)

6. If a company has total annual profit of 50000 and total revenue of the company is SR 75000 then the total expense are equal to SR 35000

7. In a quantitative analysis model of profit, total revenue is selling price per unit times the number of units sold

Q- M/C

2. The profit equation for any company is given as follows: Profit = 100X-1000-50X

Vs Profit= sX-F-vX

How many units must be sold by the company to achieve the BEP?

a. 15 b. 20 c. 19 d. 13

6. In a regression model, it is given that the estimate of intercept is 10 and the estimate of slope is 5,then the forecasted value of dependent variable y for a given value of independent variable x = 3 is

: a. 20 b. 15 c. 25 d. 17

7. A coffee machine can serve customers at the rate of 40 per hour. The customers arrive at the rate of 20 per hour. The probability of more than one customer in the system is

: a. 0.50 b. 0.55 c. 0.25 d. 0.35

8. At a cash counter of SABB bank, the customer arrive randomly according to Poisson distribution at the rate of 10 per hour. It each customer takes exactly 4 minutes at the cash counter, the average number of customers in the system are:

a. 2 b. 5 c. 3 d. 4

9-. Consider the following linear programming problem:

Maximize Z =10X +10Y

Subject to: 4X+3Y 480

2X + 3Y 360

X,Y 0

If feasible corner points are (48, 84), (0,120), (0,0) , (90.0), then the maximum possible value for the objective function is equal to

. a. 1200 b. 1320 c. 0 d. 900

In Production Company, the materials and labor cost for making a product is $200 and the fixed cost per week is 12000. The selling price for each product is $500.

If company sells 50 units, then total profit of the company will be?

a. 3000 b. 2000 c. 1500 d. None of the above

5. Monthly sales of a company for the period February May has been follows:

MONTH	INCOME
February	800
March	900
April	1000
May	1300

Assuming that an initial forecast for May was 1500, then forecast for June using exponential smoothing with an alpha= 0.5 is

: a. 1800 b. 1900 c. 1400 d. 1700