A car rental agency rents 200 cars per day at a rate of 29 dollars per day. For each 1 dollar increase in the daily rate, 5 fewer cars are rented. At what rate should the cars be rented to produce the maximum income, and what is the maximum income? R

Lindon company is the exclusive distributor for an automotive product that sells for $30.00 per unit and has a cm ratio of 30%. the company’s fixed expenses are $162,000 per year. the company plans to sell 20,200 units this year. required: 1. what are the variable expenses per unit? (round your "per unit" answer to 2 decimal places.) 2. what is the break-even point in unit sales and in dollar sales? 3. what amount of unit sales and dollar sales is required to attain a target profit of $72,000 per year? 4. assume that by using a more efficient shipper, the company is able to reduce its variable expenses by $3.00 per unit. what is the company’s new break-even point in unit sales and in dollar sales? what dollar sales is required to attain a target profit of $72,000?

In december of 2004, the company you own entered into a 20-year contract with a grain supplier for daily deliveries of grain to its hot dog bun manufacturing facility. the contract called for "10,000 pounds of grain" to be delivered to the facility at the price of $100,000 per day. until february 2017, the supplier provided processed grain which could easily be used in your manufacturing process. however, no longer wanting to absorb the cost of having the grain processed, the supplier began delivering whole grain. the supplier is arguing that the contract does not specify the type of grain that would be supplied and that it has not breached the contract. your company is arguing that the supplier has an onsite processing plant and processed grain was implicit to the terms of the contract. over the remaining term of the contract, reshipping and having the grain processed would cost your company approximately $10,000,000, opposed to a cost of around $1,000,000 to the supplier. after speaking with in-house counsel, it was estimated that litigation would cost the company several million dollars and last for years. weighing the costs of litigation, along with possible ambiguity in the contract, what are three options you could take to resolve the dispute? which would be the best option for your business and why?

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.