Construct a linear problem and solve the following:
Let X1 = number of deluxe standard models to produce
Let X2 = number of standard models to produce

Each unit of deluxe model will yield a profit of $60 each and each unit of standard model will yield profit of $40.
We are limited to only 525 hours of factory time and 220 hours of finishing time.
Each individual unit of the standard model requires 20 hours of factory time for production
Each individual unit of the deluxe model requires 30 hours factory time for production
In addition, each unit of the standard requires 15 hours of finishing time; and unit of deluxe model requires 30 hours of factory time.

Write a linear program model problem, showing the objective function and the constraints-in the space below:
Show the maximum profit we can achieve under these constraints: