A company wants to plan production for the ensuing year so as to minimize the combined cost of production and inventory storage. In each quarter of the year, demand is anticipated to be 65, 80, 135 and 75 respectively. The product can be manufactured during regular time at a cost of Php 16 per unit produced, or during overtime at a cost of Php 20 per unit. The given table below shows data pertinent to production capacities. The cost of carrying one unit in inventory per quarter is Php 2. The inventory level at the beginning of the first quarter is zero.

11. A company that manufactures ski jackets estimates that their fixed costs are $21,900 and variable costs of $24 per jacket. A survey indicates that a price of $140 results in a demand of demand of 300 jackets and that a price of $100 will result in a demand of 500 jackets. a) Find the price-demand equation assuming a linear relationship b) Find the revenue function and determine the domain its domain using the price-demand equation c) Find the total cost function d) Find the profit function and the marginal profit function e) Evaluate the marginal profit at production levels of 300 and 600 jackets and interpret your result being specific about quantities, units, and increasing/decreasing f) Determine the break-even points

6. A farmer would like to create a rectangular pen to raise rabbits. The fencing for the north and south sides of the pen cost $25 per metre, and the fencing for the east side costs $40 per metre. No fencing is required on the west side because the pen is to be build along the side of the barn. The farmer has a budget of $750 for the project. What dimensions would maximize the area of the pen? Round off to one decimal place if necessary. Ignore interval endpoints for this question.

5) A factory owner has 100 employees that produce 6000 computers per day. For each additional employee that the owner highers, the average production per employee decreases by 8 computers. How many employees should the owner have in order to maximize production?

Let’s assume that in Kansas, a family farmer sells wheat in a perfectly competitive market. After increasing the production of wheat from 220 bushels to 240 bushels, the total revenue of the farmer increases from $6,600 to $6,700. What was the marginal revenue of this increase in production in dollar?

There is a power plant that charges 10 cents per kilowatt hour for electricity and produces 1,000 tonnes of emissions annually. If this power plant were to reduce their annual emissions by 1 tonne it would cost them $250. What would be the marginal cost for this power plant?   a. $25   b. $100   c. $250   d. $500