Question

pet product inc has two production lines that make dog food. The west line can make 5 tones of regular dog food and 3 tons of premium dog food per hour. The east line can make 3 tons of regular dog food and 6 tons of premium per hour. how many hours of production on each line should be scheduled in order to make 360 tons of premium dog food and 460 tons of regular dog food. define the variables and write two equations for the word problem

Answer 1

To determine the production schedule for 360 tons of premium and 460 tons of regular dog food, two variables 'x' and 'y' represent the hours of west and east line production respectively. The equations 5x + 3y = 460 and 3x + 6y = 360 are set up to find the required hours of operation.

Step-by-step explanation:

To solve how many hours of production on each line should be scheduled to make 360 tons of premium dog food and 460 tons of regular dog food, we need to define the variables and set up two equations based on the given information. Let x represent the number of hours the west line is in production and y represent the number of hours the east line is in production.

From the west line, we have 5 tons of regular dog food and 3 tons of premium dog food produced per hour. From the east line, we have 3 tons of regular dog food and 6 tons of premium dog food produced per hour.

Equations for Regular and Premium Dog Food

For regular dog food: 5x + 3y = 460

For premium dog food: 3x + 6y = 360

These two equations can be used to find the values of x and y that satisfy both the regular and premium dog food production requirements.