A farmer has 100 acres on which to plant oats or corn. Each acre of oats requires $18 capital and 2 hours of labor. Each acre of corn requires $36 capital and 6 hours of labor. Labor costs are $8 per hour. The farmer has $2100 available for capital and $2400 available for labor. If the revenue is $55 from each acre of oats and $125 from each acre of corn, what planting combination will produce the greatest total profit? (Profit here is revenue plus leftover capital and labor funds.) What is the maximum profit?
A farmer has 100 lb of apples and 50 lb of potatoes for sale. The market price for apples (per pound) each day is a random variable with a mean of 0.5 dollars and a standard deviation of 0.2 dollars. Similarly, for a pound of potatoes, the mean price is 0.3 dollars and the standard deviation is 0.1...
A farmer has 100 lb of apples and 50 lb of potatoes for sale. The market price for apples (per pound) each day is a random variable with a mean of 0.5 dollars and a standard deviation of 0.2 dollars. Similarly, for a pound of potatoes, the mean price is 0.3 dollars and the standard deviation is 0.1...
A farmer has 70 acres of land available for planting either soybeans or wheat. The cost of preparing the soil, the workdays required, and the expected profit per acre planted for each type of crop are given in the following table: The farmer cannot spend more than $1800 in preparation costs nor use...
A standard synthetic sequence for building a six-membered cyclic ketone onto an existing aromatic ring is shown in outline as follows. Specify the reagents necessary for each step.
At the beginning of 2013, Norris Company had a deferred tax liability of $6,400, because of the use of MACRS depreciation for income tax purposes and units-of-production depreciation for financial reporting. The income tax rate is 30% for 2012 and 2013, but in 2012 Congress enacted a 40% tax rate...
A machinability rating is to be determined for the new work material. For the base material (B1112), test data resulted in a Taylor equation with parameters n = 0.29 and C = 490. For the new material, the Taylor parameters were n = 0.23 and C = 430. Units in both cases are speed in m/min and tool...
There are expanded 0.90kg/s of steam at constant pressure from 3MPa and 70% quality to a final state. If the process is nonflow for which W = 121.3kJ/s, find (a) The final temperature, (b) Q, (c) the available part of Q for a sink temperature of to = 27 Celsius
An electronics company has factories in Cleveland and Toledo that manufacture Bluray and DVD players. Each day, the Cleveland factory produces 500 Blu-ray and 300 DVD players at a cost of $18,000. Each day, the Toledo factory produces 300 of each type of player at a cost of $15,000. An order is...
A company makes two items, I1 and I2, from three raw materials, M1, M2, and M3. Item I1 uses 3 ounces of M1, 2 ounces of M2, and 2 ounces of M3. Item I2 uses 4 ounces of M1, 1 ounce of M2, and 3 ounces of M3. The profit on item I1 is $8 and on item I2 is $6. The company has a daily supply of 40...
Show that if two plane mirrors meet at an angle Ф, a single ray reflected successively from both mirrors is deflected through an angle of 2Ф independent of the incident angle. Assume Ф < 90o and those only two reflections, one from each mirror, take place.