Assume that Heather always maximizes her total utility given her budget constraint. Every morning for breakfast Heather has two eggs and three sausages. If the marginal utility of the last egg is 20 utils and the price of eggs is $2 each, what can we say about the marginal utility of the last sausage if the price of each sausage is $1

An investment counselor calls with a hot stock tip. he believes that if the economy remains strong, the investment will result in a profit of $40 comma 00040,000. if the economy grows at a moderate pace, the investment will result in a profit of $10 comma 00010,000. however, if the economy goes into recession, the investment will result in a loss of $40 comma 00040,000. you contact an economist who believes there is a 2020% probability the economy will remain strong, a 7070% probability the economy will grow at a moderate pace, and a 1010% probability the economy will slip into recession. what is the expected profit from this investment?

U. s. internet advertising revenue grew at the rate of r(t) = 0.82t + 1.14 (0 ≤ t ≤ 4) billion dollars/year between 2002 (t = 0) and 2006 (t = 4). the advertising revenue in 2002 was $5.9 billion.† (a) find an expression f(t) giving the advertising revenue in year t.

The state in which the manufacturing company you work for is located regulates the presence of a particular substance in the environment to concentrations ≤ x. recently-released, reliable research endorsed by the responsible federal agency conclusively demonstrates that the substance poses no risks at concentrations up to 5x. your company has asked you to consider designing a new process with a waste discharge stream containing up to 2x of the substance. based on the stated conditions, describe this possible.