$($a$)$ Using the exact gravity location model, investigate the $($x$,$ y$)$ coordinates of the optimal single warehouse location. If your answer has decimals, round it to the nearest hundredth. Blank $1$

$($b$)$ Using the gravity location heuristic, calculate the percentage deviation between optimal and heuristic solutions. Round your answer to the nearest hundredth, if it has decimals. Blank $2\%$

$($c$)$ Find the optimal locations for two warehouses using the two$-$facility gravity location model to serve these markets and the volume shipped between each of the plants, warehouses, and markets. How many products will be delivered from Plant $1$ to Warehouse $2?$ Round your answer to the nearest whole number, if it has decimals. Blank $3$

$($d$)$ Continue with question $($c$),$ What is the total cost? If your answer has decimals, round it to the nearest whole number. $