1. ECR snack bar sells hamburgers and hotdogs during basketball games. To stay in business, it must sell at least 10 hamburgers but cannot cook more than 40. It must also sell at least 30 hotdogs but cannot cook more than 90 sandwiches altogether. The profit is P33 on a hamburger and P21 on a hotdog. How many of each kind of sandwich should it sell in order to make maximum profit?
2. Kawasuki manufactures motorcycles and bicycles. To stay in business, it must produce at least 10 motorcycles each month, but it does not have the facilities to produce more than 60 motorcycles or more than 120 bicycles. The total production of motorcycles and bicycles cannot exceed 160. The profit on a motorcycle is P1,340 and on bicycle, P200. Find the number of each that should be manufactured in order to maximized profit.
3. Sherwin owns a car and a van. He has at most 20 gal of gasoline to be used between the car and the van. The car's tank holds at most 10 gal and the van's at most 15 gal. the mileage of the car is 80 mpg and for the van is 100 mpg. How many gallons of gasoline should each vehicle use if Sherwin wants to travel as far as possible? What is the maximum number of miles?
4. ECR snack bar sells hamburgers and hotdogs during basketball games. To stay in business, it must sell at least 10 hamburgers but cannot cook more than 40. It must also sell at least 30 hotdogs but cannot cook more than 90 sandwiches altogether. The profit is P33 on a hamburger and P21 on a hotdog. How many of each kind of sandwich should it sell in order to make maximum profit?