A church is preparing a camp for 300 participants. The bus company that the church contacted ha five large(x) buses that can accommodate 50 people and 10 small(y) buses that can accommodate 40 people. There are seven drivers available. The rental cost for a large bus is PHP 50,000 and PHP 45,000 for a small bus. How many buses of each type should be used for the camp to minimize the cost?

A church is preparing a camp for 300 participants. The bus company that the church contacted ha five large(x) buses that can accommodate 50 people and 10 small(y) buses that can accommodate 40 people. There are seven drivers available. The rental cost for a large bus is PHP 50,000 and PHP 45,000 for a small bus. How many buses of each type should be used for the camp to minimize the cost?

Algebra and Trigonometry (6th Edition)

6th Edition

ISBN:9780134463216

Author:Robert F. Blitzer

Publisher:Robert F. Blitzer

ChapterP: Prerequisites: Fundamental Concepts Of Algebra

Section: Chapter Questions

Problem 1MCCP: In Exercises 1-25, simplify the given expression or perform the indicated operation (and simplify,...

See similar textbooks

Similar questions

Does the following linear program involve infeasibility, unbounded and/oralternative solutions? Justify your answer.
How much should the price of product 2 be increasedto make it profitable to produce? How much of product 2 shouldbe produced in the new optimal plan?
Suppose that the consumer has available income equal to Y, and the price of the goods is respectively p1 and p2. i. Derive the expressions of the quantities that maximise the utility of the consumer under the budget constraint. ii. Provide a diagram of the optimal solution.
Solve the linear programming problem. Maximize and minimize z = 4x + 5y Subject to attempted 2x + y ≥ 30 x + 2y 2 24 x, y 20 What is the maximum value of z? Select the correct choice below and fill in any answer boxes present in your choice. OA. Z= (Type an integer or a fraction.) OB. There is no maximum value of z. What are the coordinates of the corner point where the maximum value of z occurs? Select the correct choice below and fill in any answer boxes present in your choice. OA. The coordinates are (Type an ordered pair.) OB. There is no maximum value of z.. What is the minimum value of z?
4. A manufacturer must decide how many chairs and tables to produce in a given week. It takes 2 hours to construct a chair and 3 hours to construct a table. The finishing process requires 2 hours for each chair and 2 hours for each table. There are 36 work hours available for construction and 28 work hours available for finishing. If the profit is $15 per chair and $25 per table, how many of each should be produced to maximize profit? Define your variables. HO 8 Find the Profit or Objective Function. Construction Find the Constraint equations. Do negatives make sense? 61 y Pt d for chairs for tables ho 21139036 X20 10 12 14 1618002 2 PCXIT ISXH59 The vertices of the feasible region. y 20 finish 2x+2y ≤28 Y= y=-2 3X+12
9. A company sells two types of shoes. The first uses 2 units of leather and 2 units of synthetic material and yields a profit of $8 per pair. The second type requires 5 units of leather and 1 unit of synthetic material and gives a profit of $10 per pair. If there are 40 units of leather and 16 units of synthetic material available, how many pairs of each type of shoe should be manufactured to maximize profit? What is the maximum profit?
A farmer wishes to buy some goats and cows. He has pasture for only 50 animals. Goats cost $300 each and cows $600 each. He can expect to make a profit of $250 on each goat and $350 on each cow. If he has $24000 to spend and he buys g goats and c cows, I. Formulate a linear programming model for this situation. II. Using a graph, find the numbers of goats and cows that will maximize profit. III. State the maximum profit.
The contribution to profits and overhead per 100 feet of pipe is $34 for type 1 and $40 for type 2.- Formulate a linear programming model to determine how much of each type of pipe should be produced to maximize contribution to profits and to overhead, assuming that everything produced can be sold.- Find the optimal solution algebraically for the Moldex Company problem. What is the Z value when the decision variables have optimal values?