Amanufacturing company receives orders for engines from two assembly plants. plant i needs at least 45 engines, and plant ii needs at least 32 engines. the company can send at most 140 engines to these assembly plants. it costs $30 per engine to ship to plant i and $40 per engine to ship to plant ii. plant i gives the manufacturing company $20 in rebates toward its products for each engine they buy, while plant ii gives similar $10 rebates. the manufacturer estimates that they need at least $1500 in rebates to cover products they plan to buy from the two plants. how many engines should be shipped to each plant to minimize shipping costs? what is the minimum cost?

Suppose that: 1. malaysia requires 1 hour of labor to produce 1 pound of rice and 2 hours of labor to produce 1 pencil; 2. indonesia requires 2 hours of labor to produce 1 pound of rice and 4 hours of labor to produce 1 pencil; 3. each country has 10,000 hours of labor to allocate between the production of rice and pencils; and 4. in autarky, malaysia consumes 5,000 pounds of rice and 2,500 pencils. which country has an absolute advantage in rice production? in pencil production? which country has a comparative advantage in rice production? in pencil production? will trade between the two countries be mutually beneficial?

Used cars usually have options: higher depreciation rate than new cars lower financing costs than new cars lower insurance premiums than new cars lower maintenance costs than new cars

1. descriptive statistics quickly describe large amounts of data can predict future stock returns with surprising accuracy statisticians understand non-numeric information, like colors refer mainly to patterns that can be found in data 2. a 15% return on a stock means that 15% of the original purchase price of the stock returns to the seller at the end of the year 15% of the people who purchased the stock will see a return the stock is worth 15% more at the end of the year than at the beginning the stock has lost 15% of its value since it was originally sold 3. a stock purchased on january 1 cost $4.35 per share. the same stock, sold on december 31 of the same year, brought in $4.75 per share. what was the approximate return on this stock? 0.09% 109% 1.09% 9% 4. a stock sells for $6.99 on december 31, providing the seller with a 6% annual return. what was the price of the stock at the beginning of the year? $6.59 $1.16 $7.42 $5.84