Blackboard Problem $3$: The block shown has dimensions $a=8$ inches and $b=5$ inches. The ultimate compressive strength of the wood is $700$ psi, and theraltimate tensile strength of the wood is $500$ psi. Setermine the largest value of the force $P$ that can be applied at the location shown if a factor of safety of $1\mathrm{.}5$ is desired.