Why do markets exist?

to help producers dump unwanted products

to give consumers a place to sell their products

to provide the government a place to enforce efficiency

to provide a place for people to trade goods and services

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.

Tri fecta, a partnership, had revenues of $369,000 in its first year of operations. the partnership has not collected on $45,000 of its sales and still owes $39,500 on $155,000 of merchandise it purchased. there was no inventory on hand at the end of the year. the partnership paid $27,000 in salaries. the partners invested $48,000 in the business and $23,000 was borrowed on a five-year note. the partnership paid $2,070 in interest that was the amount owed for the year and paid $9,500 for a two-year insurance policy on the first day of business. compute net income for the first year for tri fecta.

Asupermarket has been experiencing long lines during peak periods of the day. the problem is noticeably worse on certain days of the week, and the peak periods are sometimes different according to the day of the week. there are usually enough workers on the job to open all cash registers. the problem is knowing when to call some of the workers stocking shelves up to the front to work the checkout counters. how might decision models the supermarket? what data would be needed to develop these models?