A pharmacy has determined that a healthy person should receive 70 units of proteins, 100 units of carbohydrates and 20 units of fat daily. If the store carries the six types of health food with their ingredients as shown in the table below, what blend of foods satisfies the requirements at minimum cost to the pharmacy? Make a mathematical model for the given problem. FoodsProtein unitsCarbohydrates unitsFat unitsCost per unit A205042 B303093 C4020115 D4025106 E455098 F3020108

1. which one of the following would be an example of a supply-side market failure? a. a gas station is slowly leaking diesel fuel from its underground tanks, and after the leak is discovered, the business immediately cleans up the pollution at its own expense. b. a gas station is slowly leaking diesel fuel from its underground tanks, but the state uses taxpayer money to clean up the pollution rather than requiring the business to pay. c. your business wants to attract repeat customers by putting on a customer-appreciation picnic at a public park, but you decide not to because you couldn't prevent noncustomers from consuming the food and entertainment you provided. d. everyone rushes to the local retail outlet at midnight on the day of the release of a new video game console, and the store runs out before everyone is able to buy one.

Search engines generate revenue through pay-per-click (each time a user clicks a link to a retailer’s website); pay-per-call (each time a user clicks a link that takes the user to an online agent waiting for a call); or pay-per-conversion (each time a website visitor is converted to a customer)

Assume a competitive firm faces a market price of $60, a cost curve of c = 0.003q^3 + 25q + 750, and a marginal cost of curve of: mc = 0.009q^2 + 25.the firm's profit maximizing output level (to the nearest tenth) is , and the profit (to the nearest penny) at this output level is $ will cause the market supply to (shift right/shift left). this will continue until the price is equal to the minimum average cost of $