Question: (a) Find two numbers whose sum is 52 and whose difference is 26.
(b) Five tables and 20 chairs cost $1800, whereas 2 tables and 3 chairs cost $420. What is the price of each table and each chair?
(c) A firm produces a good in two qualities, A and B. For the coming year, the estimated output of A is 50% higher than that of B. The profit per unit sold is $300 for A and $200 for B .If the profit target is $13 000 over the next year, how much of each of the two qualities must be produced?
(d) At the beginning of the year a person had a total of $10 000 in two accounts. The interest rates were 5% and 7.2% per year, respectively. If the person has made no transfers during the year, and has earned a total of $676 interest, what was the initial balance in each of the two accounts?