Consider the following Keynesian macroeconomic model: Y=C+I+GC=200+0.8Y
I=1000−2000R
where the endogenous variables are national income (Y), consumption (C) and investment (I) and the exogenous variables are gov't spending (G) and interest rate (R)
i. Write the above equations in a matrix form:
A(Y)=B(C)(I)
where A is a 3 x 3 matrix and B is a 3 x 1 matrix with entries involving the exogenous variables.
ii. Find the inverse of A and solve for Y, C and I.

In the fall, jay thompson decided to live in a university dormitory. he signed a dorm contract under which he was obligated to pay the room rent for the full college year. one clause stated that if he moved out during the year, he could sell his dorm contract to another student who would move into the dormitory as his replacement. the dorm cost was $5000 for the two semesters, which jay had already paid a month after he moved into the dorm, he decided he would prefer to live in an apartment. that week, after some searching for a replacement to fulfill his dorm contract, jay had two offers. one student offered to move in immediately and to pay jay $300 per month for the eight remaining months of the school year. a second student offered to move in the second semester and pay $2500 to jay. jay estimates his food cost per month is $500 if he lives in the dorm and $450 if he lives in an apartment with three other students. his share of the apartment rent and utilities will be $404 per month. assume each semester is 4.5 months long. disregard the small differences in the timing of the disbursements or receipts. what is the cost of the cheapest alternative?

Shrieves casting company is considering adding a new line to its product mix, and the capital budgeting analysis is being conducted by sidney johnson, a recently graduated mba. the production line would be set up in unused space in the main plant. the machinery’s invoice price would be approximately $200,000, another $10,000 in shipping charges would be required, and it would cost an additional $30,000 to install the equipment. the machinery has an economic life of 4 years, and shrieves has obtained a special tax ruling that places the equipment in the macrs 3-year class. the machinery is expected to have a salvage value of $25,000 after 4 years of use. the new line would generate incremental sales of 1,250 units per year for 4 years at an incremental cost of $100 per unit in the first year, excluding depreciation. each unit can be sold for $200 in the first year. the sales price and cost are both expected to increase by 3% per year due to inflation. further, to handle the new line, the firm’s net working capital would have to increase by an amount equal to 12% of sales revenues. the firm’s tax rate is 40%, and its overall weighted average cost of capital, which is the risk-adjusted cost of capital for an average project (r), is 10%. define “incremental cash flow.” (1) should you subtract interest expense or dividends when calculating project cash flow?

Singer and mcmann are partners in a business. singer’s original capital was $40,000 and mcmann’s was $60,000. they agree to salaries of $12,000 and $18,000 for singer and mcmann respectively and 10% interest on original capital. if they agree to share remaining profits and losses on a 3: 2 ratio, what will mcmann’s share of the income be if the income for the year was $15,000?