Apps. of Linear Programming story problem
A manufacturer of tents makes a standard model and a lightweight model for distribution. Each standard tent requires 3 labor hours from the assembly department and 1 labor hour from the cutting department. Each lightweight tent requires 4 labor hours from the assembly department and 2 labor hours from the cutting department. The maximum labor hours available per day in the assembly and cutting departments are 84 and 32 respectively. If the company makes a profit of $45 on each standard model and $75 on each lightweight model, how many of each type of tent should be manufactured each day to maximize the total daily profit?
- State the Objective Function: P= 45x+ 75y?
- Linear Constraints: 3x+ 4y is less than or equal to 84?
x+ 2y is less than or equal to 32?
x is greater than or equal to zero?
y is greater than or equal to zero?
- State the corner points: ?
- How many of each type of tent should be manufactured each day to maximize the total daily profit: ?
I had a good start on this problem i think, but, then i got completely lost. Help would be much appreciated!!!! thank you