The maximum production of a soft drink bottling company is 5,000 cartons per day.

The maximum production of a soft drink bottling company is 5,000 cartons per day. The
company produces regular and diet soft drinks. It costs $1.00 to produce a carton of regular and $1.20 for a carton of diet. The daily operating budget is $5,400. The profit is $0.15 per carton on regular and $0.17 per carton for diet. How much of each type should be produced to obtain the maximum profit?

2. An automobile manufacturer makes cars and trucks in a factory that is divided into two
shops. Shop 1, which performs basic assembly, must work five man-days on each truck, but only two man-days on each car. Shop 2, which performs finishing operations, must work three man-days for each car or truck it produces. Because of men and machine limitations, Shop 1 has 180 man-days per week available, while Shop 2 has 135 man-days per week. If the manufacturer makes a profit of $300 on each truck and $200 on each car, how many of each should be produced to maximize profit?

3. An electronic firm manufactures two models of personal computers. The production of
the standard model requires an expenditure of $400 and 40 hours of labor. The production of the portable computer requires an expenditure of $250 and 30 hours of labor. The firm has $20,000 and 2,160 hours of labor available for production. A standard computer has a profit of $320 and a portable computer has a profit of $220. How many of each computer should be produced to achieve maximum profit?
4. A pizza shop makes two specialty pizzas, the Mighty Meat and the Very Veggie. The
Mighty Meat has five different meat toppings and two different cheeses. The Very Veggie has six different vegetable toppings and four different cheeses. The cost of toppings for each Mighty Meat is $3 and the cost for the toppings is $2 for each Very Veggie. The cheese for the Mighty meat is $2 per pizza and the cheese for the Very Veggie is $4 per pizza. No more than $60 per day can be spent on toppings and no more than $80 per day can be spent on cheese. A Mighty Meat sells for $15 and a Very Veggie sells for $12. How many of each kind should the shop make in order to maximize revenue?
5. An appliance store manager plans to offer a special on washers and dryers.

The storeroom capacity is limited to 50 items. Each washer requires two hours to unpack and set up, and each dryer requires one hour. The manager has 80 hours of employee time for unpacking and set up. Washers sell for $300 each and dryers sell for $200 each. How many of each should the manager order to maximize revenue?

6. A math test contains computation problems worth 6 points each and word problems that
are worth 10 points each. It takes two minutes to work a computation problem and four minutes to work a word problem. The time limit on the test is 40 minutes and no more than 12 problems can be worked. How many of each type should be answered in order to maximize the score?

 
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