Essay on Julia’s Meals Booth

A. Formulate a linear development model to get Julia that can assist you to advise her in the event she should lease the booth. Let, X1 =No. of french fries slices,

X2 =No. of hot dogs,

X3 = No . of barbeque sandwiches

* Goal function co-efficient:

The objective is to maximize total profit. Revenue is calculated for each adjustable by subtracting cost from the selling price. Pertaining to Pizza slice, Cost/slice=$4. 5/6=$0. 75

| X1| X2| X3

SP| $1. 50| $1. 60| $2. 25

-Cost| zero. 75| $0. 50| $1. 00

Profit| $0. 75| $1. 10| $1. twenty-five

Maximize Total profit Z = $0. 75X1 + 1 . 10X2 +1. 25X3

* Constraints:

1 . Spending budget constraint:

0. 75X1+0. 50X2+1. 00X3< =$1500

2 . Space constraint:

* Total space available=3*4*16=192 sq feet =192*12*12=27, 648 in- square The oven will be refilled during half period.

Thus, the total space available=2*27, 648= fifty-five, 296 in-square

* Space required for a pizza=14*14=196 in-square

Space required for a cut of pizza=196/6=32. 667in-square approximately. Thus, space constraint can be written as:

33X1 & 16X2 +25X3 < sama dengan 55, 296 (In-square Of Oven Space)

3. at least as many slices of pizza since hot puppies and barbeque sandwiches mixed X1> =X2 + X3 (at least as many slices of french fries as sizzling dogs and barbeque sandwiches combined)

some. at least twice as many hot pups as bar-b-que sandwiches X2/X3> = installment payments on your 0 (at least twice as many hot dogs because barbeque sandwiches) This restriction can be rewritten as:

X2-2X3> =0

X1, X2, X3 > sama dengan 0

Unit:

Maximize Total profit Z . = $0. 75X1 & 1 . 10X2 +1. 25X3

Subject to:

0. 75X1+0. 50X2+1. 00X3< =$1500 (Budget)

32. 67X1 + 16X2 +25X3 < = 55, 296 (In-square Of Oven Space)

X1-X2 - X3> =0 (at least as many slices of french fries as hot dogs and barbeque sandwiches combined) X2-2X3> =0 (at least twice as many warm dogs as barbeque sandwiches) X1, X2, X3 > = zero (Non negative opinions constraint)

M. If Julia were to borrow some more money from a friend before the first game to acquire more ingredients,...



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