2. Indahkiat has a daily budget of 320 hours of labor and 350 units of raw material to manufacture two products. If necessary, the company can employ up to 10 hours daily of overtime labor hours at the additional cost of RM2 an hour. It takes 1 labor hour and 3 units of raw material to produce one unit of product 1, and 2 labor hours and 1 unit of raw material to produce 1 unit of product 2. The profit per unit of product 1 is RM10, and that of product 2 is RM12. Let xX, and x, define the daily number of units produced of product 1 and product 2, and x, the daily hours of overtime used. The LP model is then given as Max z = 10x; + 12-2 subject to X + 2x -XS 320 S 350 bs 10 (Labor hours) (Raw material) (Overtime)

2. Indahkiat has a daily budget of 320 hours of labor and 350 units of raw material to manufacture two products. If necessary, the company can employ up to 10 hours daily of overtime labor hours at the additional cost of RM2 an hour. It takes 1 labor hour and 3 units of raw material to produce one unit of product 1, and 2 labor hours and 1 unit of raw material to produce 1 unit of product 2. The profit per unit of product 1 is RM10, and that of product 2 is RM12. Let xX, and x, define the daily number of units produced of product 1 and product 2, and x, the daily hours of overtime used. The LP model is then given as Max z = 10x; + 12-2 subject to X + 2x -XS 320 S 350 bs 10 (Labor hours) (Raw material) (Overtime)

Name: 2.Indahkiat has a daily budget of 320 hours of labor and 350 units of
Uploaded: 2024-03-20T07:07:26.000Z
Channel: Bartleby
Description: 2.Indahkiat has a daily budget of 320 hours of labor and 350 units of raw material tomanufacture two products. If necessary, the company can employ up to 10 hours dailyof overtime labor hours at the additional cost of RM2 an hour. It takes 1 labor h

Advanced Engineering Mathematics

10th Edition

ISBN:9780470458365

Author:Erwin Kreyszig

Publisher:Erwin Kreyszig

Chapter2: Second-order Linear Odes

Section: Chapter Questions

Problem 1RQ

See similar textbooks

Related questions

Q: An agribusiness company produces two kinds of goods A each week and B are each processed through two…

Q: The point of intersection between Total Revenue and Total Cost is known as Equilibrium. * O True O…

A: False

Q: Evaluate total cost function

A: (a) Consider the provided cost and revenue function, Cx=250x+4000 and Rx=750x Find the total cost…

Q: b) Find the total cost if the marginal cost is MC 3e0.50 and fixed costs are 10.

Q: If sales price and the unit variable cost remain constant and fixed costs decrease, contribution…

Q: A farmer has 1,000 acres of land on which he can grow corn, wheat or soya beans. Each acre of corn…

A: Using simplex method

Q: Metlock sells a snowboard, EZslide, that is popular with snowboard enthusiasts. Below is information…

Q: 28. Se cost sin 2t dt

A: ∫0πecostsin2tdtSolution :∫0πecostsin2tdt2∫0πecostsintcostdtlet, cost=x-sintdx=dxsintdx=-dxat…

Q: 6. Consider the linear total cost (C) equation for producing (x) items: C = 30x + 1000 a) Find the…

Q: A company manufactures a units of one item and y units of another. The total cost in dollars, C, of…

A: Given cost function is C = 6x2 + 2xy + 7y2 + 900…

Q: certain product has supply function p = 4q + 5 and demand function p = -2q + 81 (a) If the price…

Q: A chair manufacturer hires its assembly-line labour for $18 an hour and calculates that the rental…

Q: A manufacturing company purchases new products each year for use in the company. The product cost…

A: Let t be the time and n be the number of units, and x be the kilometers Let R(x) be the revenue…

Q: 2) A firm is a monopoly for the good it produces. Its average variable cost function is AVC = q ²+4…

Q: At Taste of Thyme coffee shop a dirty chai latte creates a profit point of $2.85 for a small and…

A: In the problem statement, it is given that in a month, the alloted machine time for both the lattes…

Q: Suppose a company's variable costs for a product is given by: C(X) = 4X^2 + 32X %3D The fixed cost…

Q: The demand function for the product manufactured by a monopolist is p = 22 − 0.16q. The total cost…

Q: From W/H W/H 1 W/H2 W/H 3 Demand (tons) Customer 1 40 70 80 200 Cost to ($/ton) Customer 2 Customer…

A: Voggel's Approximation Method for balanced transportation problem: Step1: For each row identify the…

Q: 5. A manufacturing company makes two models A and B of a product. Each piece of Model A requires 12…

A: Given- A manufacturing company makes two models A and B of a product. Each piece of the Model A…

Q: dividing fence costs $5 per linear foot. Determine the lengths of the sides of the plot for which…

A: Minimization problem

Topic Video

Question

2.
Indahkiat has a daily budget of 320 hours of labor and 350 units of raw material to
manufacture two products. If necessary, the company can employ up to 10 hours daily
of overtime labor hours at the additional cost of RM2 an hour. It takes 1 labor hour and
3 units of raw material to produce one unit of product 1, and 2 labor hours and 1 unit
of raw material to produce 1 unit of product 2. The profit per unit of product 1 is RM10,
and that of product 2 is RM12. Let x, and x, define the daily number of units produced
of product i and product 2, and xg the daily hours of overtime used. The LP model is
then given as
Max z = 10x, + 12x2 - 2x
subject to
X1 + 2x2 - Xạs 320
3x1 + X2
(Labor hours)
(Raw material)
(Overtime)
s 350
Xs 10
X1, Xa, Xạ 20.
Determine the dual prices and the applicability range of their associated
resources.

Expert Solution

This question has been solved!

Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.

SEE SOLUTION Check out a sample Q&A here

Step 1

VIEW

Step 2

VIEW

Step by step

Solved in 2 steps with 2 images

SEE SOLUTION Check out a sample Q&A here

Knowledge Booster

$Optimization$

Learn more about

Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, advanced-math and related others by exploring similar questions and additional content below.

Similar questions

Consider the problem of an individual that has Y dollars to spend on consuming over two periods. Let c1 denote the amount of consumption that the individual would like to purchase in period 1 and c2 denote the amount of consumption that the individual would like to consume in period 2. The individual begins period 1 with Y dollars and can purchase c, units of the consumption good at a price P1 and can save any unspent wealth. Use s, to denote the amount of savings the individual chooses to hold at the end of period 1. Any wealth that is saved earns interest at rate r so that the amount of wealth the individual has at his/her disposal to purchase consumption goods in period 2 is (1+r)s1. This principal and interest on savings is used to finance period 2 consumption. Again, for simplicity, we can assume that it costs P, dollars to buy a unit of the consumption good in period 2.
c) The fixed costs of a business for production of a particular item over a period are $1000 while the production cost per unit is $90. If the business is able to produce and sell 200 items over the period, what should the sales price of the item be in order for the business to break even?
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?
34. Due to the rising demand for face masks, a manufacturer decides to target a daily profit of PhP 1,000,000.00. If P(x) = 2r+ x- 10 represents average total daily cost at x assumed at PhP 500.00, what is the difference between the daily target profit and average total daily cost? B. PhP 420, 510.00 C. PhP 499,510.00 A. PhP 399, 520.00 105.00 D. PhP 599,
b) A company finds that it can sell out a certain product that it produces, at the rate of 7 2 Tk.2 per unit. It estimates the cost function of the product to be Tk. 1000 + for x units produced. Find the number of units produced that will maximize profit. What is the amount of this maximum profit? What would the profit if 6000 units are produced?
Q1) A retail. Store stocks two types of shirts A and B. These are packed in attractive cardboard boxes. During a week the store can sell a maximum of 400 shirts of type A and a maximum of 300 shirts of type B. The storage capacity, however, is limited to a maximum of 600 of both types combined. Type A shirt fetches a profit of SR 2/- per unit and type B a profit of SR. 5/- per unit. (a) Formulate a mathematical model of the problem.
(2) A retailer determines that the cost of ordering and storing units of a product can be modelled by
7. Find the price per unit p that produces the maximum profit given C 2500-75x +0.04x? ar p%3D2000-0.6x? Use P xp-C
17. A manufacturer can sell a certain health supplement for P1,100 per unit. Its total cost consists of a fixed overhead of Php75,000 plus production costs of Php440 per unit. b)What is the manufacturer's profit or loss if 100 units are sold? P(x) =R(x)- C(x) =660x - 75,000 P(100) =660(100) - 75,000 == - 9,000 This is a loss of Php9,000.