Assume you are given a minimization linear program that has an optimal solution. The problem is then modified by changing an equality constraint in the problem to a less-than-or-equal-to constraint. Is it possible that the modified problem is infeasible? Answer yes or no and justify.

About time delivery co. incurred the following costs related to trucks and vans used in operating its delivery service: classify each of the costs as a capital expenditure or a revenue expenditure. 1. changed the oil and greased the joints of all the trucks and vans. 2. changed the radiator fluid on a truck that had been in service for the past four years. 3. installed a hydraulic lift to a van. 4. installed security systems on four of the newer trucks. 5. overhaul the engine on one of the trucks purchased three years ago. 6. rebuilt the transmission on one of the vans that had been driven 40,000 miles. the van was no longer under warranty. 7. removed a two-way radio from one of the trucks and installed a new radio with a greater range of communication. 8. repaired a flat tire on one of the vans. 9. replaced a truck's suspension system with a new suspension system that allows for the delivery of heavier loads. 10. tinted the back and side windows of one of the vans to discourage theft of contents.

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Performance bicycle company makes steel and titanium handle bars for bicycles. it requires approximately 1 hour of labor to make one handle bar of either type. during the most recent accounting period, barr company made 7,700 steel bars and 2,300 titanium bars. setup costs amounted to $35,000. one batch of each type of bar was run each month. if a single company-wide overhead rate based on direct labor hours is used to allocate overhead costs to the two products, the amount of setup cost assigned to the steel bars will be: