1. Suppose a company manufacturing flash drives have their cost and revenue given by C(x) = 5,000 + 2xandR(x) = 10x0.001x2where the production output in one week is x flash drives. If production is increasing at a rate of 500 flash drives per week when production is 2,000 flash drives, what is the rate of increase in profit per week? A: 2,000 per week

2. Suppose a company manufacturing calculators have their cost and revenue given by C(x) = 90,000 + 30xandR(x) = 300xx230where the production output in one week is x calculators. If production is increasing at a rate of 500 calculators per week when production is 6,000 calculators, what is the rate of increase in profit per week? A:65,000 per week

3. Suppose the price and the demand x for wireless headphones are modeled by x= 6,0000.15p2If the current price of$110 is decreasing at a rate of$5 per week, how would the amount of wireless headphones change? A: 165 headphones per week

4. The price and the supply x in pounds of almonds are modeled by x= 5,600p+ 103,000If the current price of$2.25 per pound of almonds is increasing at a rate of$0.20 per week ,how would the amount of pounds of almonds change? A: 160 pounds per week