The new england cheese company produces two cheese spreads by blending mild cheddar cheese with extra sharp cheddar cheese. the cheese spreads are packaged in 12-ounce containers, which are then sold to distributors throughout the northeast. the regular blend contains 80% mild cheddar and 20% extra sharp, and the zesty blend contains 60% mild cheddar and 40% extra sharp. this year, a local dairy cooperative offered to provide up to 8100 pounds of mild cheddar cheese for $1.20 per pound and up to 3000 pounds of extra sharp cheddar cheese for $1.40 per pound. the cost to blend and package the cheese spreads, excluding the cost of the cheese, is $0.20 per container. if each container of regular is sold for $1.95 and each container of pesto is sold for $2.20, how many containers of regular and zesty should new england cheese produce

At a student café, there are equal numbers of two types of customers with the following values. the café owner cannot distinguish between the two types of students because many students without early classes arrive early anyway (i. e., she cannot price-discriminate). students with early classes students without early classes coffee 70 60 banana 51 101 the marginal cost of coffee is 10 and the marginal cost of a banana is 40. the café owner is considering three pricing strategies: 1. mixed bundling: price bundle of coffee and a banana for 161, or just a coffee for 70. 2. price separately: offer coffee at 60, price a banana at 101. 3. bundle only: coffee and a banana for 121. do not offer goods separately. assume that if the price of an item or bundle is no more than exactly equal to a student's willingness to pay, then the student will purchase the item or bundle. for simplicity, assume there is just one student with an early class, and one student without an early class. price strategy revenue from pricing strategy cost from pricing strategy profit from pricing strategy 1. mixed bundling $ $ $ 2. price separately $ $ $ 3. bundle only $ $ $ pricing strategy yields the highest profit for the café owner.

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.

The demand curve determines equilibrium price in a market. is a graphical representation of the relationship between price and quantity demanded. depicts the relationship between production costs and output. is a graphical representation of the relationship between price and quantity supplied.