Question
In: Statistics and Probability
A company produces and sells 4 types of products – P1, P2, P3, and P4. The...
A company produces and sells 4 types of products – P1, P2, P3, and P4. The table below summarizes the relevant data.
Three types of raw materials – RM1, RM2, and RM3 are required for the manufacturing process. The availability and cost per unit for each raw material are specified under the columns Available and Cost per unit, respectively.
The company is contractually obligated to produce at least a minimum quantity for each product; these are specified in the row Minimum quantity.
The selling price per unit of the products are specified in the row Selling price per unit.
The resource requirements for each product are as follows:
- It takes 2 units of RM1, 4 units of RM2, and 5 units of RM3 to produce each unit of P1.
- It takes 4 units of RM1, 5 units of RM2, and 6 units of RM3 to produce each unit of P2.
- It takes 5 units of RM1, 8 units of RM2, and 10 units of RM3 to produce each unit of P3.
- It takes 2 units of RM1, 3 units of RM2, and 4 units of RM3 to produce each unit of P3.
The fixed cost incurred to produce each unit of product are specified in the row Fixed cost/unit.
The cost of producing each unit of each product is given by the fixed cost plus the cost of the raw material used in producing that unit.
|
P1 |
P2 |
P3 |
P4 |
Available |
Cost per unit |
|
|
RM1 |
2 |
4 |
5 |
2 |
18000 |
$3 |
|
RM2 |
4 |
5 |
8 |
3 |
30000 |
$4 |
|
RM3 |
5 |
6 |
10 |
4 |
36000 |
$2 |
|
Minimum quantity |
1000 |
1000 |
1000 |
1000 |
||
|
Fixed cost/unit |
$6 |
$8 |
$10 |
$4 |
||
|
Selling price per unit |
$50 |
$60 |
$90 |
$40 |
Formulate this problem as a linear program and obtain the optimal solutions so as to maximize the total profits under the given constraints.
Solutions
orchestra answered 2 years agoRelated Solutions
1. Eastwick produces and sells three products. Last month's results are as follows: P1 P2 P3...
1. Eastwick produces and sells three products. Last month's
results are as follows:
P1
P2
P3
Revenues
$
100,000
$
200,000
$
200,000
Variable costs
40,000
140,000
80,000
Fixed costs total $200,000. What is Eastwick's break-even sales
volume? (Assume the current product mix.)
a.$384,615.
b. $500,000.
c. $460,000.
d. $416,667.
2. Evergreen Corporation manufactures circuit boards and is in
the process of preparing next year's budget. The pro forma income
statement for the current year is presented below.
Sales
$...
module traffic(clk, reset, P1, P2, P3, P4, PL); input clk; input reset; output[4:0] P1; output[4:0] P2;...
module traffic(clk, reset, P1, P2, P3, P4, PL);
input clk;
input reset;
output[4:0] P1;
output[4:0] P2;
output[4:0] P3; // four roads
output [4:0] P4;
output[3:0] PL; //Pl is pedestrian
reg [4:0] P1;
reg [4:0] P2;
reg [4:0] P3;
reg [4:0] P4;
reg [3:0] PL;
reg [4:0] sig;
always @(posedge clk or negedge reset)
begin
if(reset == 1'b0)begin
P1 <= 5'b00100;
P2 <= 5'b00100;
P3 <= 5'b00100;
P4 <= 5'b00100;
...
Let pi = P(X = i) and suppose that p1 + p2 + p3 + p4...
Let pi = P(X = i) and suppose that p1 + p2 + p3 + p4 = 1.
Suppose that E(X) = 2.5.
(a) What values of p1, p2, p3, and p4 maximize Var(X)?
(b) What values of p1, p2, p3, and p4 minimize Var(X)?
1.) You are given 4 processes P1,P2, P3, P4 all ariving at the same time t=0,...
1.) You are given 4 processes P1,P2, P3, P4 all ariving at the
same time t=0,
in a dual-processor SMP. (The two CPUs are referred to as CPU-0 and
CPU-1.)
The service time for each process is 40s, 20s, 20s and 10s
respectively
(a) What are the possibilities for the turnaround time of the
job that includes
the execution of all 4 processes? You may assume that each service
time is
just CPU time and no process interferes with the...
GL0701 - Based on Problem 7-1A Church Company LO P1, P2, P3, P4 Church Company completes...
GL0701 - Based on Problem 7-1A Church Company LO P1, P2, P3,
P4
Church Company completes these transactions and events during
March of the current year (terms for all its credit sales are 2/10,
n/30).
Mar.
1
Purchased $43,600 of merchandise from Van Industries, terms
2/15, n/30.
Mar.
2
Sold merchandise on credit to Min Cho, Invoice No. 854, for
$16,800 (cost is $8,400).
Mar.
3
Purchased $1,230 of office supplies on credit from Gabel
Company, terms n/30.
Mar.
3...
Consider following four processes arriving in the order of P1, P2, P3 and P4. Process Arrival...
Consider following four processes arriving in the order of P1,
P2, P3 and P4.
Process Arrival Time CPU burst Time
P1
0.0 6
P2
0.0
8
P3
0.0
7
P4
0.0
3
What is the average waiting time for RR scheduling (time quantum
= 5)?
What is the average waiting time for SJF scheduling?
What is the average waiting time for FCFS scheduling?
Serial Problem Business Solutions LO P1, P2, P3, P4, P5, P6 After the success of the...
Serial Problem Business Solutions LO P1, P2, P3, P4, P5, P6
After the success of the company’s first two months, Santana Rey
continues to operate Business Solutions. The November 30, 2019,
unadjusted trial balance of Business Solutions (reflecting its
transactions for October and November of 2019) follows.
No.
Account Title
Debit
Credit
101
Cash
$
38,264
106
Accounts receivable
12,618
126
Computer supplies
2,545
128
Prepaid insurance
2,220
131
Prepaid rent
3,300
163
Office equipment
8,000
164
Accumulated depreciation—Office equipment...
Serial Problem Business Solutions LO P1, P2, P3, P4, P5, P6 After the success of the...
Serial Problem Business Solutions LO P1, P2, P3, P4, P5, P6
After the success of the company’s first two months, Santana Rey
continues to operate Business Solutions. The November 30, 2019,
unadjusted trial balance of Business Solutions (reflecting its
transactions for October and November of 2019) follows.
No.
Account Title
Debit
Credit
101
Cash
$
38,264
106
Accounts receivable
12,618
126
Computer supplies
2,545
128
Prepaid insurance
2,220
131
Prepaid rent
3,300
163
Office equipment
8,000
164
Accumulated depreciation—Office equipment...
Serial Problem Business Solutions LO P1, P2, P3, P4, P5, P6 After the success of the...
Serial Problem Business Solutions LO P1, P2, P3, P4, P5,
P6
After the success of the company’s first two months,
Santana Rey continues to operate Business Solutions. The November
30, 2019, unadjusted trial balance of Business Solutions
(reflecting its transactions for October and November of 2019)
follows.
No.
Account Title
Debit
Credit
101
Cash
$
38,564
106
Accounts receivable
12,818
126
Computer supplies
2,645
128
Prepaid insurance
1,860
131
Prepaid rent
3,200
163
Office equipment
8,700
164
Accumulated depreciation—Office equipment...
Serial Problem Business Solutions LO P1, P2, P3, P4, P5 After the success of the company’s...
Serial Problem Business Solutions LO P1, P2, P3, P4, P5
After the success of the company’s first two months, Santana Rey
continues to operate Business Solutions. The November 30, 2016,
unadjusted trial balance of Business Solutions (reflecting its
transactions for October and November of 2016) follows.
No.
Account Title
Debit
Credit
101
Cash
$
38,664
106
Accounts receivable
12,718
126
Computer supplies
2,545
128
Prepaid insurance
2,160
131
Prepaid rent
3,020
163
Office equipment
8,400
164
Accumulated depreciation—Office equipment
$...
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