At Pablo's Pizza the regular price for 2 large , one - topping pizzas is 12.98 each . Pablo's offers a markdown rat of 32 % on Tuesdays . What is the sale price for 2 large , one - topping pizzas?

Captain john's yachts, inc., located in fort lauderdale, florida, rents three types of ocean-going boats: sailboats, cabin cruisers, and captain john's favorite, the luxury yachts. captain john advertises his boats with his famous "you rent"we pilot" slogan, which means that the company supplies the captain and crew for each rented boat. each rented boat has one captain, of course, but the crew sizes (deck hands, galley hands, etc.) differ. the crew requirements, in addition to a captain, are one for sailboats, two for cabin cruisers, and three for yachts. ten employees are captains, and an additional 18 employees fill the various crew positions. currently, captain john has rental requests for all his boats: four sailboats, eight cabin cruisers, and three luxury yachts. if captain john's daily profit contribution is $50 for sailboats, $70 for cruisers, and $100 for luxury yachts, how many boats of each type should he rent?

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.

Define the marginal rate of substitution between two goods (x and y). if a consumer’s preferences are given by u(x,y) = x3/4y1/4, compute the consumer’s marginal rate of substitution as a function of x and y. calculate the mrs if the consumer has chosen to consumer 48 units of x and 16 units of y. show your work. (use the back of the page if necessary.