The O’Dwyer family owns 410 acres of farmland in Co. Offaly on which they grow wheat and oats. Each acre of wheat costs €105 to plant, cultivate, and harvest; each acre of oats costs €210. The Bradleys have a budget of €52,500 for next year. The government limits the number of acres of oats that can be planted to 100. The profit from each acre of wheat is €300; the profit from each acre of oats is €520. The O’Dwyers want to know how many acres of each crop to plant in order to maximize their profit. Solve the linear programming model i.e. find the optimal solution to the model so that the O’Dwyers can decide how many acres of wheat and oats they should plant. How many acres of farmland will not be cultivated at the optimal solution?

Meman

Two firms, A and B, each currently dump 168 tons of chemicals into the local river. The government has decided to reduce the pollution and from now on will require a pollution permit for each ton of pollution dumped into the river. The government gives each firm 90 pollution permits. The abatement costs of one ton of pulltion is $122 for Firm A and $147 for Firm B. What would be the total cost of reducing pollution, if the government does NOT allow the firm to trade the permits between each other?

Gerät Gebrochen (GG) and Gerät Defektes (GD) compete against each other in the Düsseldorf home appliance market. GG and GB tacitly bargain with each other in determining prices to charge. Each firm can either price high or price low If both price high, each receives 50 MM euros. If one prices high and the other prices low, the low-priced firm receives 70 MM euros and the high-priced firm receives 30 MM euros. If both price low, each receives 40 MM euros. Suppose now that pricing is sequential and each firm commits with certainty to a price-matching guarantee. That is, one firm exactly matches the price of the other firm. Both firms compete against each other in a single period. Under this scenario, what prices do GG and GD charge?   A. Gerät Gebrochen charges a high price and Gerät Defektes charges a high price   B. Gerät Gebrochen charges a low price and Gerät Defektes charges a high price   C. Gerät Gebrochen charges a high price and Gerät Defektes charges a low…

A small strip-mining coal company is trying to decide whether it should purchase or lease a new clamshell. If purchased, the “shell” will cost $152,500 and is expected to have a $50,000 salvage value after 6 years. Alternatively, the company can lease a clamshell for only $16,000 per year, but the lease payment will have to be made at the beginning of each year. If the clamshell is purchased, it will be leased to other strip-mining companies whenever possible, an activity that is expected to yield revenues of $9,000 per year. If the company’s MARR is 13% per year, should the clamshell be purchased or leased on the basis of a future worth analysis? Assume the annual M&O cost is the same for both options.   The future worth when purchased is $     The future worth when leased is $