In a system with a single server, the probability that the server busy is 90% What is the probability that 2 customers are in the system Answer A vending machine at Muscat Airport dispenses hot coffee, hot chocolate, or hot tea, in a constant service time of 30 seconds. Customers arrive at the vending machine at mean rate of 60 per hour. Determine the average length of the waiting line Choose Determine the average time a customer must wait in seconds) Choose Write only the Linear Programming Model of the following problem A farmer has 50 acres of land to plant three types of vegetables. It costs 200 Rial for planting an acre of tomato and the profit is 60 Rial per acre. It cost 80 Rial to plant an acre of eggplant and the profit is 20 Rial per acre. Finally, it costs 140 Rial to plant an acre of cucumber and the profit is 30 Rial per acre. Find the number of acres of each type of vegetables should be planted in order to maximize the profit. Assuming that the cost cannot exceed 10000 Rials. (Hint let x = number of acres planted with tomato, y = number of acres planted with eggplant and 2 = number of acres planted with cucumber) The objective function is Choose The cost condition is Choose The actes conditions Choose Solve the following linear Programming Problem Minimize W = 9x1 + 4x2 + 10x3 1on Subject to 2x1 + x2 + 3x3 2 6 6x1 + x2 + x3 29 X1, X2, X3 20 Maximum file size: 100MB, maximum number of Customers arrive at a gas station with one pump every 4 minutes, and each customer needs on average 3 minutes to refill his/her car. What is the average time a car will wait to refill?........(minutes) Answer: An automatic car washing machine can wash 8 cars per hour. If the customers arrive to wash their cars every 10 minutes, What is the probability that no customer is washing his her car? Answer: The probability that a customer finds the single server busy is 90%. If the service rate is 5 customers per hour. What is the customers arrival rate? Answer: The arrival rate at customer service counter is 5 customers per hour, and the average service rate is 6 customers per hour. What is the number of customers waiting for service? Answer: While solving a linear programming problem in two variable we have constructed the following table Corners W = ax + by (0,0) W=0 W = 910 (40,30) (15,26) W 332 W - 110 (70,80) (20,19) W = 332 Then the maximum value of Wis. Answer: The annual rate required for a principal of 12000 OMR to earn 1020 OMR annual interest is Select one: O A. 4.5% OB. 0.04375% 0.8.5% D. 4.375% @E. 22.857% OF.0.085% The definition of "Management Science" is Select one: O A The rules and disciplines that the employees in any company must follow to serve the customers. . The rules and disciplines that the manager must follow in dealing with employees. O C. The scientific methods used in finding solutions of management problems. OD. The right decisions made by a successful manager based on his experience. OE Helping managers in making better decisions