The product my business has chose to produce is water bottles. After some research it can be said that the typical production cost of one water bottle unit is $20. Total fixed costs for my company including rent and utilities are $4000 per month. Given these numbers a linear cost function for my product can be constructed; C(x) = 20x + 4000. In this equation x represents water bottles produced each month at a price of $20 along with $4000 of total fixed costs. An estimated total cost per month can then be determined of $120,000 looking at what the company can afford. Using the cost function C(x), we can plug in 120,000 to then determine the number of water bottles produced each month, which will be x. The beginning equation is C(120000) = 20x + 4000, begin by subtracting 4000 from each side leaving us with 116000 = 20x then divide both sides of the equation by 20 to get a final answer of x = 5800. This is the number of bottles produced each month. Given the price demand …show more content…
To solve the equation, you plug 3000 in for x and get p(price) = 120. Yes, the unit price of $120 may seem high but because production decreased by almost half and we kept revenue the same the increase in unit price was justified. A function for the elasticity of demand would have to follow the equation E(p) = -pf’(p)/f(p). The predetermined function for f(p) = 12000-75p and taking the derivative f’(p) = -75, these can be plugged into the elasticity demand function to get E(p) = 75p/12000-75p. Using the unit price of $120 for p elasticity of demand comes out to be 3. Since 3 is greater than 1 the unit elasticity at this price is elastic. Based on this finding increasing this price would make revenue less productive and so we should keep the price of the water bottles lower to be able to produce more; however, it would make sense to increase
3. Assume that the selling prices, volumes, and material costs for the 1991 model year will not change for fuel tanks and doors produced by the ACF of Bridgeton Industries. Assume also that if manifolds are produced, their selling prices, volume, and material costs will not change either.
1- The total unit cost = Total Variable Cost + Production Fixed Expenses + Advertising Expense + Selling and Administrative Expense = 3.23 + 1.20 + 0.30 + 0.19 = 4.92.
Total cost = (F * T/Q) + (H * Q / 2) = (80 * 200,000 / 10,000) + (1.00 * 10,000/2)
Using the simulation as a guide the price elasticity of demand is reviewed to determine the effects of pricing strategies. Demand can either decrease or increase based on price of a product or service (Colander, 2010). Consumers tend to buy products were there is a decrease in price (Colander, 2010).
14. When the price increases from $4 to $6 and the quantity demanded decreases by 2 units, the price elasticity of demand is
Springfield Express has an opportunity to obtain a new route that would be traveled 20 times per month. The company believes it can sell seats at $ 175 on the route, but the load factor would be only 60 percent. Fixed cost would increase by $ 250,000 per month for additional personnel, additional passenger train cars, maintenance, and so on. Variable cost per passenger would remain at $ 70.
Webmasters.com has developed a powerful new server that would be used for corporations’ Internet activities. It would cost $10 million at Year 0 to buy the equipment necessary to manufacture the server. The project would require net working capital at the beginning of each year in an amount equal to 10% of the year's projected sales; for example, NWC0 = 10%(Sales1). The servers would sell for $24,000 per unit, and Webmasters believes that variable costs would amount to $17,500 per unit. After Year 1, the sales price and variable costs will increase at the inflation rate of 3%. The company’s
Because the paint is at 2.56, this is considered to be elastic demand. This means that the demand for the good changes at a faster rate than the price change of the good. Sales fall off steeply when the price increases, but they jump sharply when the price declines.
2. The quantity of peanuts supplied increased from 40 tons per week to 60 tons per week when the price of peanuts increased from $4 per ton to $5 per ton. The price elasticity of supply for peanuts over this price range is
Now due to this given scenario, it would seem like the arc elasticity would be the right approach to use over the point elasticity. The reason for this is because of the difference in price drop. For the arc elasticity, it is better used when there is a large price drop, whereas with the point elasticity, it is better used when there is a small price drop. So given the fact that the price for the soft drinks were decreased by $1, which is over the 50% price drop, it would only make sense to use the arc
Elasticity is a measure of the responsiveness of demand to changes in the price of a good or service. In the case of Steam Scot, when the price rises from 4 to 5, demand falls from 60,000 to 40,000 units. The original equilibrium market price of 4 pounds resulted in demand of 60,000 units and this generated revenue of 240,000 pounds. When the prices increased to 5 pounds the resulting demand is 40,000 units, and this generates total revenue of 200,000 pounds. When market price changes from 4 pounds to 5 pounds 40,000 pounds of revenue are lost in this indicates an elastic price elasticity of demand.
Based on the above description, forms of elasticity will affect business decisions and pricing strategies differently depending on the nature and type of products or services being offered. Business organizations whose product offerings have elastic and perfectly elastic price elasticities of demand should not attempt to raise prices of their products because it will cause the quantity demanded and consequently total revenues to drop drastically. Businesses can there use the price elasticities of demand to determine whether the proposed changes in their prices will raise or reduce their total revenue. The following expression may be useful in helping business organizations to determine the impacts of elasticities on their total revenues based on the suggested price changes.
Elasticity of demand helps the sales manager in fixing the price of his product, deciding the sales, pricing policies and optimal price for their products. The evaluation of this measure is a useful tool for firms in making decisions about pricing and production which will determine the total
PART A – Linear Programming 1 a) Linear Programing Model Decision Variables: Let x = acres of watermelon Let y = acres of cantaloupe Objective Function: Maximize Z = 390x + 1300y – 5(20x + 15y) + 5(2x + 2.5y) = 270x + 300y – 100x + 75y + 10x + 12.5y = 256x + 284.5y where Z = total profit 390x = profit from watermelons 1300y = profit from cantaloupe 5(20x + 15y) = cost of fertilizer 5(2x + 2.5y) = cost of labour Identification of Constants: Maximize Z = 256x + 284.5y
If the demand for the good or services of the company is elastic then the change in quantity demanded would be greater than a change in price. Let’s say the 10 percent decrease in price will cause increase in demand for 20 percent. The effect of this changes is that customers buying more products of this company. They are buying it for lower price but the price decrease outweigh by increasing quantity of the products or services. In this case the company benefits from these changes by raising profits. On the other hand, if company would raise the prices for the product the quantity will decrease so does the profit.