A Bakery Produces Both Pies and Cakes $$y _ { i } = \left\{ \begin{array} { l } 1 , \text { if product } j \text { is produced } \\0 , \text { otherwise }\end{array} \right.$$

question 23

Multiple Choice

A bakery produces both pies and cakes. Both products use the same materials (flour, sugar and eggs) and both have a setup cost ($100 for cakes, $200 for pies) . The baker earns a profit of $10 per cake and $12 per pie and can sell as many of each as it can produce. The daily supply of flour, sugar and eggs is limited. To manage the decision-making process, an analyst has formulated the following linear programming model (assume that it is possible to produce fractional pies and cakes for this example) :
Max 10x1 + 12x2 - 100y1 - 200y2
s.t. 5x1 + 10x2 ? 1000 {Constraint 1}
2x1 + 5x2 ? 2500 {Constraint 2}
2x1 + 1x2 ? 300 {Constraint 3}
My1 ? x1 {Constraint 4}
My2 ? x2 {Constraint 5} $$y _ { i } = \left\{ \begin{array} { l } 1 , \text { if product } j \text { is produced } \\0 , \text { otherwise }\end{array} \right.$$
Which of the constraints limit the amount of raw materials that can be consumed?

• A) Constraint 3
• B) Constraint 4
• C) Constraint 5
• D) Constraint 3 and 4
• E) None of these.

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Definitions:

Palpated Blood Pressure

A technique for measuring blood pressure by feeling (palpating) the pulse while gradually deflating a blood pressure cuff, usually to estimate systolic blood pressure.

Auscultated Blood Pressure

The process of listening to the sounds of the blood flow using a stethoscope to measure blood pressure.

Korotkoff Sounds

Sounds heard over an artery when blood pressure is measured, useful for determining systolic and diastolic pressures.

Auscultating Blood Pressure

The process of listening to the blood pressure sounds using a stethoscope and sphygmomanometer to measure the pressure.