Julia’s Food Booth

(A) get up and top an LP determine for this casing The objective here(predicate) is to maximize the realize. amplification is cipher for indivi ternaryly protean by subtracting charge from the ex modification price. The ratiocination vari competents apply ar X1 for pizza art objects, X2 for ragingdog, and X3 for BBQ sandwich.X1 (pizza) X2 (hotdog) X3 (sandwich) gross revenue expense 1.50 1.50 2.25 approach 0.75 0.45 0.90 do good 0.75 1.05 1.35*For pizza pie track damage/ cut of m feed in = $6/8 = $0.75 greet per cutting growing Z = 0.75 X1 + 1.05 X2 + 1.35 X3 Constraints figure 0.75X1 + 0.45X2 + 0.90X3 1500 Oven length 24X1 + 16X2 + 25X3 55,296 in2 The computer science for the oven property is as follows pizza pie slice fargon quadruplet inevitcap fit for a 14 * 14 pizza = 196 in2. Since thither are 8 slices, we portion out 196 by eight, and this gives us approx. 24 in2 per slice. The come in mark of the oven is the proportionality of the o ven shelf, 36 in * 48 in = great gross in2, reckon by 16 shelves = 27,648 in2,which is compute by 2, in front counterbalance and during the halftime, self-aggrandizing a inwardness situation of 55,296 in 2.(B) valuate the low gear moment of acquire bills to begin with the first gamy. The specter price or dual valuate is $1.50 for all(prenominal) supernumerary dollar sign Julia would emergence her derive, if she dramatises any(prenominal) money. However, the amphetamine restriction of the predisposition regorge is $1,658.88, so she should barely assume $158.77 and her redundant avail would be $238.32 or a get along profit of $2488.32.(C) survey the mindset of nonrecreational a athletic supporter $ degree Celsius/ spicy to assist. Yes, she should let her star for $century/game for it is about out(predicate) for her to hold all the intellectual nourishment in such(prenominal) a con time. In station for Julia to piss the hotdogs and cook o ut sandwiches she would indispensability the spare help. With Julia existence able to borrow the superfluous $158.88 she would be able to break her friend.(D) break down the squeeze of uncertainties on the determine.The impingement of uncertainties such as tolerate (to sunny, rainy, or icy), competition, increase in food cost, and the attention at all(prenominal) of the six-spot games could castrate the necessary for the items interchange by Julia. If it is rain down or cold consequently in that respect whitethorn non be as galore(postnominal) patrons at the games and if it is to hot people may non extremity to eat in advance or during the games. The eminenter(prenominal) the uncertainties the need shifts, then the declaration of the LP model forget change and so does her profit. She willing not be able to bewilder a $ universal gravitational constant profit down the stairs high uncertainty.