Suppose that you formulate and solve an integer programming model with a cost-minimization objective. Assume that the optimal solution yields an objective cell value of $500,000. Now, consider the same linear optimization model without the integer restrictions. That is, suppose that you drop the requirement that the decision variable cells be integer-valued and re-optimize with Solver. How does the optimal objective cell value for this modified model (called the LP relaxation of the IP model) compare to the original total cost value of $500,000? Explain your answer.