Doreen has preferences represented by the utility function U(x, y) = 10x + 5y. She consumes 10 units of good x and 12 units of good y. If her consumption of good x is lowered to 1, how many units of y must she have in order to be exactly as well off as before?

Slimwood corporation made sales of $ 725 million during 2018. of this amount, slimwood collected cash for $ 670 million. the company's cost of goods sold was $ 300 million, and all other expenses for the year totaled $ 400 million. also during 2018, slimwood paid $ 420 million for its inventory and $ 285 million for everything else. beginning cash was $ 110 million. carter's top management is interviewing you for a job and they ask two questions: (a) how much was carter's net income for 2018? (b) how much was carter's cash balance at the end of 2016? you will get the job only if you answer both questions correctly.