Production Management

PizzaTime Restaurants is building a new pizza place and needs to determine how big to make the various parts of its facility. It wants to be able to accommodate a maximum of 680 customers per hour at its peak times. PizzaTime has collected the following information: the average time to place and receive an order is 2.00 minutes, 30 percent of the customers have cars and require parking spots, and the average length of time at the restaurant is 25 minutes per customer. Assuming a capacity cushion of 20 percent. 1. Find the number of parking spaces needed. (Do not round intermediate calculations. Round up your answer to the next whole number.) 2. Find the number of seats/tables needed. (assume 4 seats per table) (Round up your answer to the next whole number.) Problem 5-7 AlwaysRain Irrigation's marketing department will undertake an intense ad campaign for the bronze sprinklers, which are more expensive but also more durable than the plastic ones. Currently two production lines are in place for making bronze and plastic sprinklers. Three types of sprinklers are available in both bronze and plastic: 90-degree nozzle sprinklers, 180-degree nozzle sprinklers, and 360-degree nozzle sprinklers. Forecast demand for the next four years is YEARLY DEMAND 1 (in 000s) 2 (in 000s) 3 (in 000s) 4 (in 000s) Plastic 90 33 45 55 54 Plastic 180 15 16 16 13 Plastic 360 46 55 62 68 Bronze 90 10 15 18 22 Bronze 180 5 6 4 7 Bronze 360 15 16 14 22 Both production lines can produce all the different types of nozzles. The bronze machines needed for the bronze sprinklers require three operators and can produce up to 11,000 sprinklers. The plastic injection molding machine needed for the plastic sprinklers requires three operators and can produce up to 180,000 sprinklers. Three bronze machines and only one injection molding machine are available. Suppose that operators have enough training to operate both the bronze machines and the injection molding machine for the plastic sprinklers. Currently AlwaysRain has 14 such employees. In anticipation of the above ad campaign, management approved the purchase of two additional bronze machines. What are the labor requirement implications? (Round your answers to 2 decimal places.) Year 1 Year 2 Year 3 Year 4 Labor requirements-bronze Labor requirements-plastic Total labor requirements

Problem 1(Pizza)
a)    Number of customers in peak hour = 680
Out of these, customers those who would have cars = 0.3*680 = 204
Further cushion capacity = 20% of 204 = 40.8
Hence total parking spaces required = 204 +40.8 = 245
PS: Please note that in the question it is not clear that cushion capacity applies for every item or not. Hence the answer would be 245 or 204.

b)    Number of customers in peak hour = 680
An average customer stays for 25 minutes
Number of seats required = (680*25/60) = 283.33
Further cushion capacity = 20% of 283.33 = 56.67
Hence total seats required = 283.33 + 56.67 = 340 seats or 85 tables.
Plastic Sprinklers
Current production capacity for plastic sprinkler line = 180,000
Number of operators required to run injection machine = 3
Number of injection machines = 1
Hence demand for operators for plastic sprinkler = (94000/180000)*3 = 1.57
Similarly demand for labour for other years can be calculated.
Bronze sprinklers
Current production