There are 1 million hours of labor available for making cars in the North, and another 1 million hours of labor available for making cars in the South. In a no-trade world, let’s assume that two-thirds of the auto industry labor in each region is used to make high-quality cars and one-third is used to make low-quality cars. Solve for how many of each kind of car will be produced in the North and South, and add up to determine the total global output of each type of car. (Why will both kinds of cars be made? Because the low-quality cars will be less expensive.)

In a fixed-term, level-payment reverse mortgage, sometimes called a reverse annuity mortgage, or ram, a lender agrees to pay the homeowner a monthly payment, or annuity, and expects to be repaid from the homeowner’s equity when he or she sells the home or obtains other financing to pay off the ram. consider a household that owns a $150,000 home free and clear of mortgage debt. the ram lender agrees to a $100,000 ram for 10 years at 6 percent. assume payments are made annually, at the beginning of each year to the homeowner. calculate the annual payment on the ram.