Question
Q1)
-------------------------------------------------------------------------------------------------------------------------------------------------
Q2)
-------------------------------------------------------------------------------------------------------------------------------------------------
Q3)
-------------------------------------------------------------------------------------------------------------------------------------------------
Q4)
For some positive constant C, a patient's temperature change, T, due to a dose, D, of a drug is given by What dosage maximizes the temperature chage? D = The sensitivity of the body to the drug is defined by dT/dD. What dosage maximizes sensitivity? D = A warehouse selling cement has to decide how often and in what quantities to reorder. It is cheaper, on average, to place large orders, because this reduces the ordering cost per unit, On the other hard, large orders, because this reduces the ordering cost per unit. On the other hand, large orders mean higher storage costs. The warehouse always reorders cement in the same quality, q. The total weekly cost, C, of ordering and storage is given by Does the term 5a/q represent the ordering cost or the storage cost? ordering cost storage cost Does the term 5bq represent the ordering cost or the storage cost? ordering cost storage cost What value of q gives the minimum total cost? q = A chemical reaction converts substance S to substance Y. At the start of the reaction, the quantity of S present is s grams. At the quantity of Y present is y grams. The rate of the reaction, in grams/sec, is given by Rate = ky(s - y), A: is a positive constant. For what values of y is the rate nonnegative? (Enter your answer using interval notation.) Graph the rate against y. For what values of y is the rate a maximum? (Enter your answers as a comma-separated list.) Consider a line passing through (0, 0) and a point (x, y) on the curve y = x 2 e -7x. Find a formula for the slope of this line. Express your answer in terms of x only. Slope of the line: For what value of x is this slope a maximum? Assume x 0. Give an exact answer. x = What is the maximum value of this slope? Give an exact answer. maximum value of slope:
Explanation / Answer
1)
(a) D = C
(b) D = 2C/3
2)
(a) 5a/q = ordering cost
5bq= storage cost
(b) q = sqrt(a/b)
3)
(a) [0,s] , option C
(b)y=s/2
4)
(a) xe-7x
(b) x = 1/7
(c) max slope = 1/7e
