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4fes auraieui anticipates senving about 170 peop Fnday " evening and believes that about 2190 of the patrons sure (p + 20) navino encugh steaks on hand meet cu...

Question

4fes auraieui anticipates senving about 170 peop Fnday " evening and believes that about 2190 of the patrons sure (p + 20) navino encugh steaks on hand meet customer demand?order the chefs steak special How many of those mea shouldDianon seninoorder be prettyThe restaurateur should have steaks on hand: (Round up t0 the neares: whole number )

4fes auraieui anticipates senving about 170 peop Fnday " evening and believes that about 2190 of the patrons sure (p + 20) navino encugh steaks on hand meet customer demand? order the chefs steak special How many of those mea should Dianon senino order be pretty The restaurateur should have steaks on hand: (Round up t0 the neares: whole number )



Answers

Solve. The bill in a restaurant comes to a total of $48.75. The patrons decide to tip the server 20%. What tip amount should be left, and how much do they pay including the tip?

We want to plan a party and specifically a barbecue. And there will be 25 people were going to be serving 1/4 pound hamburgers, and each person will probably eat two of them. So we want to know how much meat we should buy. So we have 25 people, and we know that they're probably going to want two burners. So that means right there that we want to have 50 burgers. So how much meat do we buy? Well, we know that there is 1/4 of a pound per hamburger patty. So if there are 50 of those them, all we have created for ourselves is a multiplication problem. So we'll have 50 times the quarter pound of the meat, and we'll write this as 50/1 to keep the fraction. Now to write out the prime factor ization of this love two times five times five over, two times two two will cancel. And that leaves us with 25 over. To which one simplified into a mixed number will be, um, 12 and 1/2. So right there. We know. Do we want 12 and 1/2? That'll be pounds of meat

That is given by 200 divided if I want, which is equal to wonder. Trying to the your world one which is a portal six under so 600 percents can eat that him but does.

Her and this problem. We have to minimize the coast for the given condition and the condition is the joint and China Planning Toe. Give a party for 50 people, so there are 50 people's at least 50 people. That means people can be more than this. Also on, they're going to sell hot dogs and hamburgers. So there are two products not to produce. I would say to item for eating. The 1st 1 is hard dog. The 2nd 1 is Hambo on each Hambo coast, $1. So $1 and each hot dogs cost $0.50 it is given there we should add a joy should it takes at least 15 hot dogs. That means that assume that we're having X poor docks and white Hodac's. So it is unit. At least 15 hot dogs should be there. That means X should be greater than or equal to 15. At least 20 hamburgers should video. That means why should be greater than or equal to 20 Onda explains. Why should be greater than or equal stuff? 50. Visit heard inequality. Ondo. The function that we have too many ways is, if be easy goals to 0.5 x plus one. Why are we can write it as why itself? Because one times why is why now we have toe many my dysfunctional maximum. We have to minimize dysfunction on the our planed inequalities. Are these three inequalities? So now I'll be graphing these inequality autographs paper. So let's take a graph paper now. So this line represents Why is it cool to 20 on this line? Represents expressway is equals to 50 on this line represents Why is equal to 20 on this will be the point of a dissection. So the corners of this point will be 15 Coma 20 Fife on the point of a dissection of this point will be 30 comma 20. So we'll be calculating the value of P at these two coordinates. So the value of pr discordant is 42.5 and the value speed. Yet this corn, it is 40. Fife at this corner will get the minimum. Really? Speak that this way the value of X comes out through the ear 30 and by comes out to be S 20 so we can conclude that the that should be 30 hot dogs on 20 hamburgers to minimize the cost. This is a regard solution. I hope you got the problem. Thank you.

Here. In this problem, we have to minimize the cost for the given condition. On the given condition is that the Joy and Chan are planning to give a party to at least 50 people's Onda, and there would be serving two things. The 1st 1 is hard dog on the 2nd 1 is Hamburger Onda. The coast off. One hamburger is $1 and the coast off hot dog is 0.50 On it is given that every person would eat either a hot dog or hamburger. And so it is assumed that, uh, they would need X hard dog and why Hamburger onda? The estimates Darda. They would need at least 15 hot dog. That means X should be greater than or equal to 15 and at least 20 hamburgers. That means why should be greater than or equals to 20. Now they are asking how much hamburger issued order hamburger and the hot dog. They should order such that the coast is minimize so we can write one more inequality that does it. Expressway should be greater than or equal to 50 because the number off people letter coming is at least 50 people's on the very minimize the coast. So the coast function would BP's equals two 0.5 x less one way or a good sherry. Simply way. So we have to minimizes function for the given for the obtained a constraint. Now I'll be golfing these inequality autograph, fiber. So that's siga graph even now. So this is the Y axis on. This one is X X is no this land presents the equation. X plus Y is equal to 50 on this line represents the equation. It is a goal to 15. Finally, this one represents vice equals to 20. Now the common region would light towards this side decide off the inequality. So there to corn appointed variable able to obtain that this one and this one on. And now we have to calculate the value sp at boot The coordinate for that, we need to calculate the coordinates. So the content of this point is 30 comer 20. On the corner of this point is a 15 coma 35. Now the really off be at this corn, it comes out to be s 42.5 and the value of PR discordant comes out to be s 35. So here we're getting the minimum value. So we can say that X equals 2 30 on why is it cools to 20? So finally we can conclude that they should order 30 hot dogs Onda 20 ham bowlers to minimize their coast.


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