Luke offered to sell his farm to kent at $75,000, an offer which kent declined. a week later, luke offered to sell the farm for $65,000, stating that it was the final offer, it was valid for one month, and that he would not alter it. two days later, kent replied by saying that he was willing to pay $60,000 for the farm. a week after luke received kent's offer, luke declined it. ten days after that, kent agreed to buy the farm for $65,000, but luke refused to sell the farm. kent decided to sue luke for a breach of contract. the judge ruled in favor of luke. which one of the following is the reason for the ruling in luke's favor?
a) luke's original offer of $75,000 is still valid, even though rejected.
b) kent's counteroffer of $60,000 had rendered the offer for $65,000 invalid.
c) kent's acceptance was past the set time period in the offer.
d) kent acted in an incompetent manner with regards to the offer.

The following account balances at the beginning of january were selected from the general ledger of fresh bagel manufacturing​ company: work in process inventory ​$0 raw materials inventory $ 29 comma 000 finished goods inventory $ 40 comma 900 additional​ data: 1. actual manufacturing overhead for january amounted to $ 62 comma 600. 2. total direct labor cost for january was $ 63 comma 600. 3. the predetermined manufacturing overhead rate is based on direct labor cost. the budget for the year called for $ 255 comma 000 of direct labor cost and $ 382 comma 500 of manufacturing overhead costs. 4. the only job unfinished on january 31 was job no.​ 151, for which total direct labor charges were $ 5 comma 700 ​(1 comma 000 direct labor​ hours) and total direct material charges were $ 14 comma 400. 5. cost of direct materials placed in production during january totaled $ 123 comma 300. there were no indirect material requisitions during january. 6. january 31 balance in raw materials inventory was $ 35 comma 200. 7. finished goods inventory balance on january 31 was $ 35 comma 400. what is the cost of goods manufactured for​ january

Suppose you win a small lottery and have the choice of two ways to be paid: you can accept the money in a lump sum or in a series of payments over time. if you pick the lump sum, you get $2,950 today. if you pick payments over time, you get three payments: $1,000 today, $1,000 1 year from today, and $1,000 2 years from today. 1) at an interest rate of 6% per year, the winner would be better off accepting the (lump sum / payments over time), since it has the greater present value. 2) at an interest rate of 9% per year, the winner would be better off accepting the (lump sum / payments over time), since it has the greater present value. 3) years after you win the lottery, a friend in another country calls to ask your advice. by wild coincidence, she has just won another lottery with the same payout schemes. she must make a quick decision about whether to collect her money under the lump sum or the payments over time. what is the best advice to give your friend? a) the lump sum is always better. b) the payments over time are always better. c) it will depend on the interest rate; advise her to get a calculator. d) none of these answers is good advice.

If a product goes up in price, and the demand for it drops, that product's demand is a. elastic b. inelastic c. stable d. fixed select the best answer from the choices provided