# Explain the shape of the curves in terms of cardiac output and systemic vascular resistance.

*** The Wilson lot size formula in economics says that the most economical quantity Q of goods for Show more *** The Wilson lot size formula in economics says that the most economical quantity Q of goods for a store to order is given by the formula Q(KMH)=sqrt(KM/H) where K is the cost of placing the order M is the number of items sold per week and H is the weekly storage cost for each item. Use the differential of Q to determine which of the variables is most sensitive near the point (2 10 0.5). – *** The cardiacoutput represented by c is the volume of blood flowing through a persons heart per unit time. The systemic vascular resistance represented by s is the resistance to blood flowing through veins and arteries. A persons blood pressure p is a function of c and s. A. If blood pressure is directly proportional to c and s write a formula for p=f(cs). Include the sign of your proportionality constant. B. Sketch three contours of p in quadrant I. Label your diagram. Explain the shape of the curves in terms of cardiac output and systemic vascular resistance. Note: Your sketch should be large enough and clearly drawn because you will be labeling points on your sketch for part C. C. Right after a heart attack a patients cardiac output drops thereby causing the blood pressure to drop. A common mistake made by medical residents is to get the patients blood pressure back to normal by using drugs to increase the systemic vascular resistance rather than by increasing the cardiac output. Label the following points on your diagram from part B: Point BA representing the patients state before the heart attack Point AA for the patients state right after the heart attack Point AD for the patients state right after the resident has given the drugs Explain how your illustration of the three points shows that the medical resident is making a mistake. Show less

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