SECTION D: Answer the following compulsory question. llx$35=351.$Relax$-$and$-$Enjoy Lake Development Corporation is developing a lakeside conmunity at a privatelyoWned lake. The primary market for the lakeside lots and homes includes all middle$-$ and upper$-$incomefamilies within approximately $100$ miles of the development. Relax$-$and$-$Enjoy has employed the advertisingfim of Boone, Phillips and Jackson $($BP&J$)$ to design the promotional campaign.After considering possible advertising media and the market to be covered, BP&J has recommended thatthe first month's advertising be restricted to five media. At the end of the month, BP&J will then reevaluateits strategy based on the month's results. BP&J has collected data on the number of potential customersreached. the cost per advertisement, the maximum number of times cach medium is available, and theexposure quality rating for cach of the ive media. The quality rating is measured in terms of an exposurequality unit, a measure of the relative value of one advertisement in cach of the media. This measure, bascdon BP&$\text{'}$s experience in the advertising business, takes into account factors such as audien demographics$($age$,$ income, and education of the audience reached$),$ image presented, and quality of th advertisement. Theinformation collected is presented in Table below.Relax$-$and$-$Enigy provided BP&Iwith an ndvcrtising bndget of for the first month, s Campaign. In addition. Relax$-$and$-$Enioyinlposcd thc following restricthons on how BP&J may allocate these filnds: At least $10$ television conuncrcials Inust be used. atIcagt $50\mathrm{.}000$ potential customers must be leached and no more than S $18\mathrm{.}000$ may be spent on television advertiscmcts.Table: ADVERTISING MEDLA ALTERNATIVES FOR TIE RELAX$-$AND$-$ENJOY LAKEDEVELOPMENT CORPORATIONNutltber ofPotcntinlCustomersRenchcdAdvertising MedinDaytime TV $(1$ min$).$ station WKI A$2$ Evening TV $(30$ sec$).$ station WKLA$3.$ Daily newspaper $($full page$),$ TheMornin JourmalSunday newspaper magazine $(1/2$ acecolor, The Sunda PressS. Radio, $8$:$00$A M or $5$:$00$ PM news$30$ sec station KNOP$2000$Adjustable Cells$1500$Final$2500300$The sensitivity report generated was as follows:Cost $($S$)$ perAdvertisementReduced$150030004001000100$MaximumTimesAvailable perMonthObjective$15$Allowable$1025430$ExposureQuality$*$ The maximn number of times the medium is availableis either the maximum number of times theadvertising medum occurs $($e$.$g$.$ four Sundays per month or the maxirmum number of time BP&J recommendsthat the medium be used$).$Units$6590\mathrm{.}406020$AllowableCellSB$$3$SCS$3$ConstraintsSDS$3$ DNSES$3$ SNSFS$3$ RCellSHS$7$SHS$8$SHS$9$SHS$10$SHSIISHS$12$SHSI$3$SHS$14$DTVSHSISET,$1$r $|2$r$3|4$NameNameavailabil$$ty of DTVavailability of ETVavailability of DNavailability of SNavailability of Rtotal budgetmin. TV dsTV ad budgetCustomer reachValie$1025230$Final$10252303000010$I$500061500$Cost$-650$Shadow$1614$Coefficient Increase$0\mathrm{.}06-25$Coeficient$0659060$Constrant$15254303000018000$S$0000$Tncrease$2-65$IE$+30404\mathrm{.}43431$E$+15$DecreaseAllowable$1$E$+30$

ANSWER BELOW QUESTIONS CLEARLY AND FULLY AM TOMMOROW

a$)$ Fomulate the above media mix problem as an LPP$.$

b$)$lnterpret the report above, and make suitable recommedation to manangement.