Product safety has become a hot topic for businesses around the world. The purpose of product safety policies and legislation is to keep consumers safe, with the expectation that product quality is balanced against business profits. How does a company factor these competing expectations and still hold the consumer responsible for safe and effective use of the product

Starting at age 30, you deposit $2000 a year into an ira account for retirement. treat the yearly deposits into the account as a continuous income stream. if money in the account earns 7%, compounded continuously, how much will be in the account 35 years later, when you retire at age 65? how much of the final amount is interest?

At a small store, a customer enters the front door on average every 8 minutes. a prior study indicated that the time between customers entering the front door during weekdays follows an exponential distribution. what is the probability that the time between customers entering the store on a weekday will be less than or equal to 7? select one: a. 62 b. 43 c. 1/8 d. 7/8 e. 58

David consumes two things: gasoline (g) and bread (b). david's utility function is u(g, b) = 10g^0.25 b^0.75. use the lagrange technique to solve for david's optimal choices of gasoline and bread as a function of the price of gasoline, p_g, the price of bread, p_b, and his income m. with recent decrease in the price of gasoline (maybe due to external shock such as shale gas production) does david increase his consumption of gasoline? for david, how does partial differential g/partial differential p_g depend on his income m? that is, how does david's change in gasoline consumption due to an increase in the price of gasoline depend on his income level? to answer these questions, find the cross-partial derivative, |partial differential^2 g/partial differential m partial differential p_g.