Arancher is mixing two types of food, brand x and brand y for his cattle. if each serving is required to have 60 grams of protein and 30 grams of fat, where brand a has 15 grams of protein and 10 grams of fat and costs 80 cents per unit, and brand b contains 20 grams of protein and 5 grams of fat, and cost 50 cents per unit, how much of each type should be used to minimize cost to the rancher? a. formulate a linear programming model for this problem b. solve this method by using solver method

You are the new chief information officer for the video-game developer, necturus games. the company has recently undergone a major expansion of its primary product, and you must staff up the is department and determine the best way to develop new game "capsules" for the game, "escape velocity."

Consider the market for gasoline. suppose that, in a competitive market without government regulations, the equilibrium price of gasoline is $3.00 per gallon, and employees at gas stations earn $17.50 per hour. complete the following table by indicating whether each of the statements is an example of a price ceiling or a price floor and whether it results in a shortage or a surplus or has no effect on the price and quantity that prevail in the market. statement price control effect the government has instituted a legal minimum price of $3.40 per gallon for gasoline. the government prohibits gas stations from selling gasoline for more than $3.40 per gallon. due to new regulations, gas stations that would like to pay better wages in order to hire more workers are prohibited from paying more than $14.50 per hour.

Cosmetic profits. sally is the executive vice president of big name cosmetics company. through important and material, nonpublic information, she learns that the company is soon going to purchase a smaller chain of stores. it is expected that stock in big name cosmetics will rise dramatically at that point. sally immediately buys a number of shares of her company's stock. she also tells her friend alice about the expected purchase of stores. alice wanted to purchase stock in the company but lacked the funds with which to do so. although she did not have the funds in bank a, alice decided to draw a check on bank a and deposit the check in bank b and then proceed to write a check on bank b to cover the purchase of the stock. she hoped that she would have sufficient funds to deposit before the check was presented for payment. of which of the following offenses, if any, is alice guilty of by buying stock?