The wheat harvesting season in the american midwest is short, and most farmers deliver their truck-loads of wheat to a giant central storage bin within a two-week span. because of this, wheat-filled trucks waiting to unload and return to the fields have been known to back up for a block at the receiving bin. the central bin is owned cooperatively, and it is to every farmer's benefit to make the unloading/storage process as efficient as possible. the cost of grain deterioration caused by unloading delays, the cost of truck rental, and idle driver time are significant concerns to the cooperative members. although farmers have difficulty quantifying crop damage, it is easy to assign a waiting and unloading cost for truck and driver of $ 18 per hour. the storage bin is open and operated 16 hours per day, 7 days per week, during the harvest season and is capable of unloading 35 trucks per hour according to an exponential distribution. full trucks arrive all day long (during the hours the bin is open) at a rate of about 30 per hour, following a poisson pattern. to the cooperative get a handle on the problem of lost time while trucks are waiting in line or unloading at the bin, find the
(a) average number of trucks in the unloading system.
(b) average time per truck in the system.
(c) utilization rate for the bin area.
(d) probability that there are more than three trucks in the system at any given time.
(e) total daily cost to the farmers of having their trucks tied up in the unloading process.

the cooperative, as mentioned, uses the storage bin only two weeks per year. farmers estimate that enlarging the bin would cut unloading costs by 50% next year. it will cost $9,000 to do so during the off-season. would it be worth the cooperative's while to enlarge the storage area?

Lead time for one of your fastest-moving products is 20 days. demand during this period averages 90 units per day. a) what would be an appropriate reorder point? ) how does your answer change if demand during lead time doubles? ) how does your answer change if demand during lead time drops in half?

Suppose that alexi and tony can sell all their street tacos for $2 each and all their cuban sandwiches for $7.25 each. if each of them worked 20 hours per week, how should they split their time between the production of street tacos and cuban sandwiches? what is their maximum joint revenue?

With q7 assume the sweet company uses a plantwide predetermined overhead rate with machine-hours as the allocation base. and for q 10,11,13,and 14,assume that the company use department predetermined overhead rates with machine-hours as the allocation bade in both departements.7. assume that sweeten company used cost-plus pricing (and a markup percentage of 80% of total manufacturing cost) to establish selling prices for all of its jobs. what selling price would the company have established for jobs p and q? what are the selling prices for both jobs when stated on a per unit basis assuming 20 units were produced for job p and 30 units were produced for job q? (do not round intermediate calculations. round your final answers to nearest whole dollar.)total price for the job for job p -job q selling price per unit for job p q . how much manufacturing overhead was applied from the molding department to job p and how much was applied to job q? (do not round intermediate calculations.) job p job q manufacturing overhead applied for job p for job q . how much manufacturing overhead was applied from the fabrication department to job p and how much was applied to job q? (do not round intermediate calculations.)job p job q manufacturing overhead applied for job p for job q . if job q included 30 units, what was its unit product cost? (do not round intermediate calculations. round your final answer to nearest whole dollar.)14. assume that sweeten company used cost-plus pricing (and a markup percentage of 80% of total manufacturing cost) to establish selling prices for all of its jobs. what selling price would the company have established for jobs p and q? what are the selling prices for both jobs when stated on a per unit basis assuming 20 units were produced for job p and 30 units were produced for job q? (do not round intermediate calculations. round your final answer to nearest whole dollar.)total price for the job p for job q selling price per unit for job p for job q