Final answer:
The maximum number of units for product P is 100, and for product Q is 40, considering the production skills of workers A, B, C, and D in conjunction with the maximum demand constraints for each product.
Step-by-step explanation:
The question asks about the maximum number of units for product P and product Q that can be produced in a week by workers A, B, C, and D, with constraints on maximum demand and unique worker skills. To calculate the maximum units, one would align the production capacities of the workers with the demand, ensuring that no individual worker's capacity exceeds the maximum demand for each product.
If each worker is dedicated to producing only the product they are most efficient at, we can sum their maximum capacities within the demand constraints:
- Worker A can produce a max of 50 units of Product P and 20 units of Product Q.
- Worker B can produce a max of 40 units of Product P and 30 units of Product Q.
- Worker C can produce a max of 60 units of Product P and 10 units of Product Q.
- Worker D can produce a max of 30 units of Product P and 40 units of Product Q.
However, we cannot simply sum these numbers because we must respect the maximum demand constraints of 100 units for Product P and 40 units for Product Q. We have to decide an optimal mix so that the skills of the workers are utilized without exceeding the demand constraints. After consideration, we can conclude that the maximum number of Product P units would be 100 (limit set by demand), and the maximum number of Product Q would be 40 units (also the limit set by demand).