"You'll notice the trimming machine requires workers to pull two levers at the same time. Although this may appear inconvenient, it assures the worker's hands will not be caught in the blades." In this example, the salesperson is an objection regarding the extra effort required to use the trimming machine.

Juan has a retail business selling skateboard supplies he maintains large stockpiles of every item he sells in a warehouse on the outskirts of town he keeps finding that he has to reorder certain supplies all the time but others only once a year how can he solve this problem?

Universal containers(us) has an integration with its accounting system that creates tens of thousands of orders inside salesforce in a nightly batch. us wants to add automation that can attempt to match leads and contacts to these orders using the email address field on the insert. us is concerned about the performance of the automation with a large data volume. which tool should uc use to automate this process?

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.