Answer:
Explanation:
To determine the number of Shuffle Man and Walk On players that can be produced given the available worker hours and production requirements, we need to consider the following information:
- The profits per unit are $20 for the Shuffle Man and $15 for the Walk-On.
- The company has at most 750 worker-hours of manufacturing time available each day.
- The company has 200 worker-hours of shipping time available each day.
- At least 300 Shuffle Man players and 500 Walk On players must be produced each day.
Let's calculate the production possibilities based on the given information:
1. Worker hours available for manufacturing:
- The company has at most 750 worker-hours of manufacturing time available each day.
2. Worker-hours available for shipping:
- The company has 200 worker-hours of shipping time available each day.
3. Production requirements:
- At least 300 Shuffle Man players must be produced each day.
- At least 500 Walk On players must be produced each day.
4. Profit calculation:
- The profit per unit is $20 for the Shuffle Man and $15 for the Walk-On.
Based on the information provided, we need to find the maximum number of units for each product that can be produced, considering the available worker hours and production requirements.
Let's assume the number of Shuffle Man players produced is "x" and the number of Walk On players produced is "y".
Considering the manufacturing time constraint, we have the following equation:
2x + 3y ≤ 750
Considering the shipping time constraint, we have the following equation:
x + 2y ≤ 200
Considering the production requirements, we have the following equations:
x ≥ 300
y ≥ 500
Now, we can solve this system of inequalities to find the feasible production quantities for each product.
After solving the equations, we find that the maximum number of Shuffle Man players that can be produced is 300, and the maximum number of Walk On players that can be produced is 600.
Therefore, the company can produce at most 300 Shuffle Man players and 600 Walk On players each day, considering the available worker hours and production requirements.