Refer to exhibit 3-6. if an increase in income causes the demand for good x to shift from d1 to d3, good x is

Define the marginal rate of substitution between two goods (x and y). if a consumer’s preferences are given by u(x,y) = x3/4y1/4, compute the consumer’s marginal rate of substitution as a function of x and y. calculate the mrs if the consumer has chosen to consumer 48 units of x and 16 units of y. show your work. (use the back of the page if necessary.

The following information is needed to reconcile the cash balance for gourmet catering services. * a deposit of $5,600 is in transit. * outstanding checks total $1,000. * the book balance is $6,400 at february 28, 2019. * the bookkeeper recorded a $1,800 check as $17,200 in payment of the current month's rent. * the bank balance at february 28, 2019 was $17,410. * a deposit of $400 was credited by the bank for $4,000. * a customer's check for $3,300 was returned for nonsufficient funds. * the bank service charge is $90. what was the adjusted book balance?

The management of a supermarket wants to adopt a new promotional policy of giving a free gift to every customer who spends > a certain amount per visit at this supermarket. the expectation of the management is that after this promotional policy is advertised, the expenditures for all customers at this supermarket will be normally distributed with a mean of $95 and a standard deviation of $20. if the management wants to give free gifts to at most 10% of the customers, what should the amount be above which a customer would receive a free gift?