Applied Technology, Inc. $($ATI$),$ produces bicycle frames using two fiberglass materials thatimprove the strength$-$to$-$weight ratio of the frames. The cost of the standard grade material is$$7\mathrm{.}50$ per yard and the cost of the professional grade material is $$9\mathrm{.}00$ per yard. The standard andprofessional grade materials contain different amounts of Fiberglass, Carbon Fiber, and Kevlaras shown in the following table:Standard Grade Professional GradeFiberglass $84\%58\%$Carbon Fiber $10\%30\%$Kevlar $6\%12\%$ATI signed a contract with a bicycle manufacturer to produce a new frame with a carbon fibercontent of at least $20\%$ and a Kevlar content of not greater than $10\%.$ To meet the requiredweight specification, a total of $30$ yards of material must be used for each frame. Once placed in a linear programming problem it will look like this min Z $=7\mathrm{.}50$X $+9\mathrm{.}00$Y subject to $0\mathrm{.}10$X $+0\mathrm{.}30$Y$>=6,0\mathrm{.}06$X $+0\mathrm{.}12$Y X$+$Y $=30.$ X$,$ Y $>0.$ Now once placed in a quantitative methods software or excel software the graph will look like the one provided. Using this information answer the following: Identify one of the Essential Constraints. a$.$ State the interval for the right hand side of this constraint. b$.$ How would increasing the current value affect the minimum cost? c$.$ How would decreasing the current value affect the minimum cost?$[$You may need to edit the LP$-$problem to confirm your suspicion.