The Sweet Smell Fertilizer Company markets bags of manure labeled "not less than $60$ lb dry weight." The packaged manure is a combination of compost and sewage wastes. To provide good$-$quality fertilizer, each bag should contain at least $30$ lb of compost but no more than $40$ lb of sewage. Each pound of compost costs Sweet Smell $5$ and each pound of sewage costs $4$ o $3$ The aim of the objective function for the Sweet Smell Fertilizer Company should be to the objective value. Decision variables: X $=$ number of pounds of compost in each bag Y $=$ number of pounds of sewage waste in each bag Objective function, in cents Z$=[$x$+$ Y $8077570-65-60-5550-45->40-35-30-25-20-15-10-$ Subject to $1$X $+1$Y V $601$X $+$ OY $5-($C$1)($C$2)($C$3)$ V $300-0$ V $40$ OX $+1$Y X Y $>04015101520253035404550556065707580$ On the graph on right, constraints C$1,$ C$2$ and Cz have been plotted using the line plotting tool. Using the point drawing tool, plot all the corner points for the feasible area. The optimum solution is: X $=($round your response to the nearest whole number$).$ Y $=($round your response to the nearest whole number$).$ Optimal solution value Z $($in cents$)=($round your response to the nearest whole number$).$