Consider: A farmer can plant up to 20 acres of land with wheat and barley. He can earn $8,000 for every acre he plants with wheat and $5,000 for every acre he plants with barley. His use of a necessary pesticide is limited by federal regulations to 10 gallons for his entire 20 acres. Wheat requires 2 gallons of pesticide for every acre planted and barley requires just 1 gallon per acre.Problem: What is the maximum profit he can make?Assumptions:let x = the number of acres of wheatlet y = the number of acres of barleyWhich of the following is a valid constraint for this problem?Question 2Select one:a.y <= 10 - 2xb.x <= 0c.x <= 10 - xd.y <= 20 - 2x

Revenue$1,000CostsWages and salaries$700Rent on land$50Rental fee for tractor$100Seed, fertilizer$100Pesticides, irrigation$50Calculate the value added by this farm.

A dishonest wheat vendor uses a weight of 1350 grams instead of 1 kg while buying his provisions, and uses a weight of 900 grams instead of 1 kg weight while selling them. He then professes to sell the provisions at their cost price to his customers. What is his profit percentage?

Suppose that the market for rice is competitive. This means that the farmer will maximise profit by choosing:Group of answer choicesto produce the quantity at which average fixed cost is minimized.to sell its wheat at a price where marginal cost is equal to average total cost. the quantity at which market price is equal to the farm’s marginal cost of production.the quantity where average revenue is equal to the farm’s average variable cost.

A factory can produce two products, x and y, with a profit P approximated by P = 12x + 15y. The production of y can exceed x by no more than 200 units.  Moreover, production levels are limited by the formula x + 2y ≤ 1000. What production levels yield maximum profit?

Our company sells a product for $120 per unit. Variable costs are $90 per unit and fixed costs are $4,000. The company expects to sell 200 units this year. How many units must we sell to earn a profit of $2,000?Group of answer choices200250300340