A factory produces 2 types of goods, namely goods X and Y. To produce an item...
(1 point) A company manufactures x units of one item and y units of another. The total cost C in dollars of producing these two items is approximated by the function C = 7x2 + 4xy + 5y2 + 800. (a) If the production quota for the total number of items (both types combined) is 88, find the minimum production cost. cost = (b) Estimate the additional production cost if the production quota is raised to 89. Hint: The answer...
The company produces two types of goods in quantities of x and y, with market prices of 40$ and 80$ , respectively. If the production cost is given by function C(x, y) = 2.x2 + 5y2 + 120 and is not exceeding 250 $ what is the maximum profit obtained?
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1. A company is involved in the production of two items (X and Y). The resources need to produce X and Y are twofold, namely machine time for automatic processing and craftsman time for hand finishing. The table below gives the number of minutes required for each item: Table 1: Minutes required for each item Item Machine time Crafstman time Item X 13 20 Item Y 19 29 The company has 40 hours of machine...
A firm has three factories each of which produces the same item. Let x, y, and z denote the respective numbers of units that are produced at the three factories in order to cover a total order for 2000 units. Hence, x +y+ z-2000 units. The cost functions for the three factories are ()200102 22003 (a) 200+10z Find x, y and z that minimize C, the total cost of production. Show that total cost is indeed the minimum at these...
1. Countries A and B both can produce two goods, X and Y. If country A produces only good X, it can produce 30 units of X; if country A produces only good Y, it can produce 10 units of Y. If country B produces only good X, it can produce 40 units of X; if country B produces only good Y, it can produce 40 units of Y. Assume that both countries have homogenous resources so that the opportunity...
A company produces a part that is used in its production process. The company produces the part at a rate of 285 units per day. The daily demand for the product is 165 units. The annual demand for the part is 49 comma 500 units and occurs consistently over the 300 days the company operates yearly. The company incurs a setup cost of $345 each time the item is produced. The cost of carrying the item in inventory is estimated...
In a widget factory, the producer is able to produce 40 widgets per day when she hires two workers. The producer is able to produce 70 widgets per day when she hires three workers. If diminishing marginal product occurs with the fourth worker then the producer is able to produce less than 100 widgets per day when she hires four workers. True False In the short run total costs include both fixed costs and variable costs. Rent paid on the...
Individuals A and B can both produce goods X and Y. Individual A has a comparative advantage in the production of X if the amount by which A must reduce production of Y is less than the amount by which B must reduce production of Y to produce an additional unit of X. the amount by which A must reduce production of Y is more than the amount by which B must reduce production of Y to produce an additional unit of X. A has a...
Charlie's Cupcakes is a company that produces cupcakes. The company uses a factory to produce many cupcakes per day. Factory workers mix the ingredients and package the cupcakes to sell them to customers. 1. List the direct and indirect materials needed to make the cupcakes. 2. Which workers would be considered direct labor? Which workers would be considered indirect labor? 3. What other manufacturing overhead costs would be incurred in this production process?
Suppose an economy (Home) produces only two goods- Magnets and Neckties. Both goods require both capital and labour to produce. Assume capital and labour cannot be substituted for one another in the production process. The economy has 600 units of capital and 800 units of labour available. It takes 4 units of labour and 2 units of capital to make each Magnet and 2 units of labour and 6 units of capital to make each Necktie Problem 2 Now suppose...