Help with fraction proprtions

Kilgore's Deli is a small delicatessen located near a major university. Kilgore does a large walk-in carry-out lunch business. T

AfilCa [17]

Answer:

z (max) = 6.15

x₁ = 1 x₂ = 3 x₃ = 6

Amount of beef leftover 2 lb

Amount of onions leftover 0

Amount of Special Sauce leftover 61

Amount of Hot Sauce leftover 9

Step-by-step explanation:

Ingredients Beef Onions Special S Hot S Profit

Wimpy (x₁) 1 2 5 0 0.6

Dial 911 (x₂) 1 2 2 5 0.55

Fire Bowl (x₃) 1.5 2 3 6 0.65

Available 15 20 90 60

Objective Function z:

z = 0.6*x₁ + 0.55*x₂ + 0.65*x₃ to maximize

Subject to:

1) Quantity of beef : 15

x₁ + x₂ + 1.5*x₃ ≤ 15

2) Quantity of onions: 20

2*x₁ + 2*x₂ + 2*x₃ ≤ 20

3) Quantity of Special sauce: 90

5*x₁ + 2*x₂ + 3*x₃ ≤ 90

4) Quantity of hot sauce: 60

0*x₁ + 5*x₂ + 6*x₃ ≤ 60

5) Condition: The number of servings for Fire Bowl must be at least 10% of the total number of servings for all three luncheon chili specials.

x₃ ≥ 0.1 ( x₁ + x₂ + x₃ ) or x₃ ≥ 0.1*x₁ + 0.1 *x₂ + 0.1*x₃

x₃ - 0.1*x₁ - 0.1 *x₂ - 0.1*x₃ ≥ 0

- 0.1*x₁ - 0.1 *x₂ + 0.9 *x₃ ≥ 0

6)Condition: The number of servings for Fire Bowl, however, cannot exceed the number of Dial 911 by more than 3.

x₃ - x₂ ≤ 3

7)the available number of servings for Dial 911 must be at least 2.

x₂ ≥ 2

General constraints:

x₁ ≥ 0 x₃ ≥ 0 all integers

With on-line solver solution is:

z (max) = 6.15

x₁ = 1 x₂ = 3 x₃ = 6

By sbstitution on the constraints

1) x₁ + x₂ + 1.5*x₃ ≤ 15 1 + 3 + 9 = 13

Amount of beef leftover 2 lb

2) 2*x₁ + 2*x₂ + 2*x₃ ≤ 20 2 + 6 + 12 = 20

Amount of onions leftover 0

3) 5*x₁ + 2*x₂ + 3*x₃ ≤ 90 5 + 6 + 18 = 29

Amount of Special Sauce leftover 61

4)0*x₁ + 5*x₂ + 6*x₃ ≤ 60 15 + 36 = 51

Amount of Hot Sauce leftover 9

3 0

2 years ago

a woodworker wants to cut a board that is 8.225 feet long into 5 equal pieces. How long will each of the boards be?

jok3333 [9.3K]

Answer:

1.645 feet

Step-by-step explanation:

To solve this you must divide the total length by 5. 8.225/5=1.645. Each board will be 1.645 feet long

3 0

2 years ago

Read 2 more answers

The graph below shows the design for the front view of a doghouse that Jeremy plans to build. If each square on the graph repres

dexar [7]

Based on the graph, the total perimeter of the doghouse Jeremy plans to build s 28 feet (twenty-eight feet).

<h3>What is the perimeter?</h3>

This is the total distance of all the sides in a shape. Due to this, the general formula is:

Perimeter = side + side + side.

<h3>What is the perimeter of the doghouse?</h3>

Horizontal side: 8 feet
Vertical sides: 10 feet
Diagonal sides: 10 feet

8+10+10= 28 feet.

Note: This question is incomplete because the graph is missing; here is the graph:

Learn more about perimeter in: brainly.com/question/6465134

#SPJ1

7 0

1 year ago

)if there are 8 parts in a product and they are each at 6 sigma with a 1.5 shift, determine the ppm for the product

Maru [420]

Answer:

ppm value = 0.000027 parts per million

Step-by-step explanation:

Given:

number of parts(n) = 8

From table: percent conformance in six sigma = 0.9999966

Using the formula of ppm value in terms of percent conformance and number of parts:

$ppm\,value = ( 1 -( \frac{percent\,conformance}{100} )^n )$

Plugging in the values:

$ppm\,value = (1 - (\frac{0.9999966}{100} )^8 )$

$ppm\,value = ( 1- 0.999972)\\$

$ppm\,value = 0.000027\,parts\,per\,million$

6 0

3 years ago

Estimate the product of 403 × 581 by rounding to the nearest hundred. A. 300,000 B. 240,000 C. 30,000 D. 24,000

irga5000 [103]

Answer:

It would be b.

Step-by-step explanation:

403x581=234143 rounded to 240,000

Hope it helped brainiest plz

8 0

2 years ago