The biomass B(t) of a fishery is the total mass of the members of the fish population at time t. It is the product of th

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The Biomass B T Of A Fishery Is The Total Mass Of The Members Of The Fish Population At Time T It Is The Product Of Th 1 (29.81 KiB) Viewed 27 times

The biomass B(t) of a fishery is the total mass of the members of the fish population at time t. It is the product of the number of individuals N(t) in the population and the average mass M(t) of a fish at time t. In the case of guppies, breeding occurs continually. Suppose that at time t = 4 weeks the population is 827 guppies and is growing at a rate of 50 guppies per week, while the average mass is 1.2 g and is increasing at a rate of 0.14 g/week. At what rate is the biomass increasing when t = 4? (Round your answer to one decimal place.) B'(4) = g/week Need Help? Read It

A manufacturer produces bolts of a fabric with a fixed width. The quantity of this fabric (measured in yards) that is sold is a function of the selling price p in dollars per yard), so we can write q = f(p). Then the total revenue earned with selling price p is R() = pf(p). (a) What does it mean to say that f(15) = 10,000? O When the price of fabric is $15/yard, 550 yards will be sold. There are 10,000 total yards of fabric and $550 to spend on it. There are 550 total yards of fabric and $15 to spend on it. O When the price of fabric is $15/yard, 10,000 yards will be sold. When the price of fabric is $550/yard, 15 yards will be sold. What does it mean to say that f'(15) = -550? O As the price of the fabric increases past $550/yard, the amount of fabric which will be sold is increasing at a rate of 15 yards per (dollar per yard). As the price of the fabric decreases past $15/yard, the amount of fabric which will be sold is increasing at a rate of $550 per dollar per yard). O As the price of the fabric decreases past $550/yard, the amount of fabric which will be sold is decreasing at a rate of $10,000 per (dollar per yard). As the price of the fabric decreases past $15/yard, the amount of fabric which will be sold is increasing at a rate of 10,000 yards per (dollar per yard). As the price of the fabric increases past $15/yard, the amount of fabric which will be sold is decreasing at a rate of 550 yards per (dollar per yard). (b) Assuming the values in part (a), find R'(15). R'(15) = Interpret your answer. O As the price of fabric decreases past $15/yard, the total revenue is decreasing at $10,000 per (dollar per yard). O As the price of fabric increases past $550/yard, the total revenue is increasing at $10,000 per (dollar per yard). As the price of fabric decreases past $550/yard, the total revenue is increasing at $1750 per (dollar per yard). O As the price of fabric increases past $15/yard, the total revenue is decreasing at $550 per dollar per yard). As the price of fabric increases past $15/yard, the total revenue is increasing at $1750 per (dollar per yard). Need Help? Read It Submit Answer