Suppose the market for relay switches is considered perfectly competitive and is in equilibrium at a price of $5,000 per pallet of relay switches. callahan relay produces relay switches at an average total cost given by atc = q + 1,500,000/q and marginal cost given by mc = 2q, where q measures pallets of relay switches. if callahan relay maximizes profit, how much profit will it earn?

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.

Alarge tank is filled to capacity with 500 gallons of pure water. brine containing 2 pounds of salt per gallon is pumped into the tank at a rate of 5 gal/min. the well-mixed solution is pumped out at the same rate. find the number a(t) of pounds of salt in the tank at time t.

When it is 4: 00 a. m. in halifax, it is 1: 00 p. m. in karachi, and when it is 9: 00 a. m. in karachi, it is 5: 00 a. m. in warsaw. mary left halifax to fly to karachi, but she accidentally left her watch on warsaw time. according to mary’s watch, she left halifax at 9: 40 p. m. on monday. the local time when she arrived at karachi was 3: 00 p. m. tuesday. how long was mary’s flight? a. 9 hours, 20 minutes b. 13 hours, 20 minutes c. 14 hours, 20 minutes d. 17 hours, 20 minutes