The following selected account balances are taken from the records of Cooper Corporation for the past two years. December 31 2018 2017 Equipment $750 $400 Accumulated depreciation 160 225 Land 92 50 Bonds payable 30 50 Common stock 120 100 Additional paid in capital 400 320 Retained earnings 825 675 Other information available for 2018: · Net income for the year was $200. · Depreciation expense on plant and equipment was $70. · Equipment with an original cost of $200 and Accum. Dep. of $135 was sold at a gain of $5. · No land was sold during the year. · Both new equipment and land were purchased during the year. · Bonds payable were retired · Common stock was issued for cash. · Cash dividends were declared and paid. How much cash did Cooper Corp. receive from the sale of equipment?

Why do you think the compensation plans differ at the two firms? in particular, why do you think kaufmann’s pays commissions to salespeople, while parkleigh does not? why does parkleigh offer employees discounts on purchases, while kaufmann’s does not?

Asmall town wants to build some new recreational facilities. the proposed facilities include a swimming pool, recreation center, basketball court and baseball field. the town council wants to provide the facilities which will be used by the most people, but they face budget and land limitations. the town has $400,000 and 14 acres of land. the pool requires locker facilities which would be in the recreation center, so if the swimming pool is built the recreation center must also be built. also, the council has only enough flat land to build the basketball court or the baseball field. the daily usage and cost of the facilities (in $1,000) are shown below. which facilities should they build? facilityusagecost ($1,000)landswimming pool4001002recreation center5002003basketball court3001504baseball field2001005

David consumes two things: gasoline (g) and bread (b). david's utility function is u(g, b) = 10g^0.25 b^0.75. use the lagrange technique to solve for david's optimal choices of gasoline and bread as a function of the price of gasoline, p_g, the price of bread, p_b, and his income m. with recent decrease in the price of gasoline (maybe due to external shock such as shale gas production) does david increase his consumption of gasoline? for david, how does partial differential g/partial differential p_g depend on his income m? that is, how does david's change in gasoline consumption due to an increase in the price of gasoline depend on his income level? to answer these questions, find the cross-partial derivative, |partial differential^2 g/partial differential m partial differential p_g.