The Weemow Lawn Service wants to start doing snow removal in the winter when there are nolawns to maintain. Jeff and JulieWeems,who own the service,are trying to determine how muchequipment they need to purchase,based on the various job types they have. They plan to workthemselves and hire some local college students on a per-job basis. Based on historical weatherdata,they estimate that there will be six major snowfalls next winter. Virtually all customerswant their snow removed no morethan 2 days afterthe snow stops falling. Working 10 hoursper day (into the night),Jeff and Julie can remove the snow from a normal driveway in about1 hour,and it takes about 4 hours to remove the snow from a business parking lot and sidewalk.The variable cost (mainly forlabor and gas) perjob is $12 for adriveway and $47 for a parkinglot. Using their lawn service customer base as a guideline,they believe they will have demandof no more than 40 homeowners and 25 businesses. They plan to charge $35 for a home drive-way and $120 for a business parking lot,which is slightly less than the going rate. They want toknow how many jobs of each type will maximize their profit.

(a) Solve the problem using graphical method. (b) Interpret the slack/surplus variables that you obtain based on the optimal values of decision variables in (a). (c) Are there any binding constraints in the model? Explain.