Photon Technologies, Inc, a manufacturer of batteries for mobile phones, signed a contract with a large electronics manufacturer to produce three models of lithium$-$ion battery packs for phones. The contract calls for the following.

$\backslash$table$[[$Battery Pack,Production Quantity$],[$PT$-100,201,000],[$PT$-200,101,000],[$PT$-300,148,000]]$

Photon Technologles can manufacture the battery packs at manufacturing plants located in the Philippines and Mexico. The unit cost of the battery packs differs at the two plants because of in production equipment and wage rates. The unit costs for each battery pack at each manufacturing plant are as follows.

$\backslash$table$[[$Product$,$Philippines,Mexico$],[$PT$-100,$$$0\mathrm{.}95,$$$0\mathrm{.}98$