A toy manufacturer uses 48,800 rubber wheels per year for its popular dump truck series. The firm makes its own wheels, which it can produce at a rate of 700 per day. The toy trucks are assembled uniformly over the entire year. Carrying cost is $1.90 per wheel per year. Setup cost for a production run is $39. The firm operates 244 days per year. Determine the following: a. Optimal run size
b. the minimum total annual cost for carrying and setup

Needs to schedule the staffing of the center. it is open from 8am until midnight. larry has monitored the usage of the center at various times of the day and determined that the following number of computer consultants are required: time of dayminimum number of consultants required to be on duty8 am-noon4noon-4 pm84pm-8pm108pm-midnight6 two types of computer consultants can be hired: full-time and part-time. the full- time consultants work for eight consecutive hours in any of the shifts: morning (8am- 4pm), afternoon (noon-8pm) and evening (4pm-midnight). full-time consultants are paid $14 per hour. part-time consultants can be hired to work any of the four shifts listed in the table. part-time consultants are paid $12 per hour. an additional requirement is that during every time period, there must be at least two full-time consultants on duty for every part-time consultant on duty. larry would like to determine how many full-time and part-time consultants should work each shift to meet the above requirements at the minimum possible cost. formulate this as an lp problem. you must define your variables clearly

Cash flows during the first year of operations for the harman-kardon consulting company were as follows: cash collected from customers, $385,000; cash paid for rent, $49,000; cash paid to employees for services rendered during the year, $129,000; cash paid for utilities, $59,000. in addition, you determine that customers owed the company $69,000 at the end of the year and no bad debts were anticipated. also, the company owed the gas and electric company $2,900 at year-end, and the rent payment was for a two-year period.

After much consideration, you have chosen cancun over ft. lauderdale as your spring break destination this year. however, spring break is still months away, and you may reverse this decision. which of the following events would prompt you to reverse this decision? a. the marginal cost of going to cancun decreases. b. the marginal cost of going to ft. lauderdale decreases. c. the marginal benefit of going to cancun increases. d. the marginal benefit of going to ft. lauderdale decreases.