1. A carpentry shop makes dinner tables and coffee tables. Each week the shop must complete at least 8 dinner tables and at least 12 coffee tables to be shipped to the furniture stores. The shop can produce at most 25 dinner tables and coffee tables combined each week. If the shop sells dinner tables for $120 and coffee tables for $150, how many of each item should be produced for a maximum weekly income? What is the maximum weekly income? 3. Funtime Airways les from Palau to Nauru weekly if at least 12 first class tickets and at least 16 tourist class tickets are sold. The plane can not carry more than 30 passengers. Funtime Airways makes $26 prot for each tourist class seat sold and $24 prot for each first class seat sold. In order for Funtime Airways to maximize its prots, how many of each type of seat should they sell? What is the maximum prot? 2. Suppose a lumber mill can turn out 600 units of lumber and plywood each week. To meet the needs of its regular customers, the mill must produce 150 units of lumber and 225 units of plywood. If the profit for each unit of lumber is $30 and the prot for each unit of plywood is $45, how many units of each type of wood product should the mill produce to maximize prot? What is this prot? 4. Steve makes two types of wood clocks to sell at local stores. It takes him 2 hours to assemble a pine clock, which requires 1 oz of varnish. It takes 2 hours to assemble an oak clock, which takes 4 oz. of varnish. Juan has 16 oz. of varnish in stock, and can work 20 hours. If he makes 53 prot on each pine clock and $4 on each oak clock, how many of each type should he make to maximize his prots? What is the maximum prot? 5. A farmer has 10 acres to plant in wheat and rye. He has to plant at least 7 acres. However, he has only $1200 to spend and each acre of wheat costs $200 to plant and each acre of rye costs $100 to plant. Moreover, the farmer has to get the planting done in 12 hours and it takes an hour to plant an acre of wheat and 2 hours to plant an acre of rye. If the profit is $500 per acre of wheat and $300 per acre of rye, how many acres of each should be planted to maximize prots? What is this prot? 6. A calculator company produces a scientic calculator and a graphing calculator. There is an expected demand of at least 60 scientic and 80 graphing calculators each day. Because of limitations on production capacity, no more than 100 scientic and 170 graphing calculators can be made daily. To satisfy a shipping contract, a total of at least 200 calculators must be shipped each day. If each scientic calculator is sold for a $2 prot and each graphing calculator is sold for a 55 prot, how many of each should be made daily to maximize prot? What is this maximum prot