A warehouse is stocked with two types of storage containers: square boxes and rectangular boxes.
The square boxes cost $\$55$$55 each and have a volume of $2$2 m3 and the rectangular boxes cost $\$65$$65 each and have a volume of $7$7 m3. The warehouse has a total storage space of $200$200 m3 and there is a budget of $\$800$$800 to purchase the containers.
Let $x$x represent the number of square boxes purchased, and $y$y represent the number of rectangular boxes purchased.
Fill in the gaps to complete the following constraint inequalities for $x$x and $y$y:
Write an inequality relating $x$x and $y$y to the total budget for the warehouse:
Finally, write an inequality relating $x$x and $y$y to the total storage space of the warehouse:
Use curve fitting, log modelling, and linear programming techniques
Apply linear programming methods in solving problems