RayonSoleil aims to maximize net revenues by taking into account production costs, sales revenues and distribution costs for can openers $($OB$)$ and toasters $($GP$).$

A network graph has been partially prepared to solve the SunRay problem:

$(0$;$95)$

$60$

A$/$OB

$-60$

$(0$;$42)$

OB$/$DIST$1$

$240$

A

Questions:

$1)$ Complete the network graph of the RayonSoleil problem, using one hour of production as the flow unit, and solve using the network template and Excel Solver.

$2)$ Determine which factory will supply which distributor with which quantities of can openers $($OB$)$ and toasters $($GP$),$ and determine the maximum net revenue for RayonSoleil.

$3)$ Indicate how much overtime each plant will need to meet distributors' requirements.