5x + 12x2 XI - x2 3 -XI + 2x2 < -4 10. Maximize subject to and xi 2 0, x2 2 0.
Q: A company manufactures running shoes and basketball shoes. The total revenue (in thousands of…
A: We use partial differentiation technique to maximize the revenue. The solution is explained below.
Q: current inventory, a total of 48 planks of wood are left. Each sofa needs four planks of wood to be…
A: Let the number of sofas be x and tables be y. Then 4x + 2y = 48
Q: Solve using the simplex method. Maximize P=4x, +2x, +3x, Subject to x +x, + x; <11 2x, +3x, +x, < 20…
A: Given problem is, Maximize P=4x1+2x2+3x3Subject to x1+x2+x3≤112x1+3x2+x3≤20x1+3x2+2x3≤20x1,x2,x3≥0…
Q: 14. Maximize P = 15x1 + 20x2 %3D subject to 2xı + x2 s 9 X1 + x2 s 6 X1 + 2r2 s 10 X1, X2 0
A:
Q: A firm can produce 300 units per week. If its total cost function is C = 800 + 1400x dollars and its…
A:
Q: Maximize subject to: Z = $140×₁ + $150x₂ 8x1 + 2x₂ 40 9x2 + 3x₂ ≤ 120 X1, X₂ ≥0
A:
Q: Maximize P= 7x+9y Subject to: 2x+ y12 x, y 20
A:
Q: A small manufacturing company can sell all the items it produces at a price of $ 5 each. The cost to…
A: Based on given data detailed solution is provided
Q: 2A. Dominique clothing line can produce a maximum of 4800 dresses in a year. If it sells x dresses…
A:
Q: Maximize p = 6x + y + 3z subject to 3x + y < 15 2x + 2y + 2z < 20 x 2 0, y 2 0, z 2 0.
A:
Q: 5 x 500, p 4 - In(x) where x is the number of hot dogs (in thousands) that can be sold during one…
A: Given a function
Q: minimize Z = 8x +212 subject to 2r, - 6x, s 12 5x, + 4x2 40 X1 + 2r, 12 X2 S 6 X1, X2 20
A:
Q: Maximize : P=25x +30y Subject to : 3x -2y < 0 ys 3 x + y 2 5 X-ys5 x 2; y 2 0
A: Given: P = 25x +30y 3x- 2y ≤ 0 y ≤ 3x + y ≥ 5x - y ≤ 5 x ≥0 ; y≥0
Q: A firm can produce 100 units per week. If its total cost function is C = 600 + 1200x dollars and its…
A: Profit = Revenue - Cost P(x)=(1300x-x^2)-(600+1200x) P(x)=-x^2+100x-600
Q: A firm can produce 300 units per week. If its total cost function is C = 400 + 1100x dollars and its…
A: Profit function, P(x) = Revenue function - Cost function = R(x) -…
Q: A company manufactures two types of bicycles, a racing bicycle and a mountain bicycle. The total…
A:
Q: A fertilizer producer finds that it can sell its product at a price of p = 2500 – 0.5x dollars per…
A: Given that p=2500-0.5x
Q: 3) Find the minimum and maximum values y = 2x5 +5x² on the interval [-2,2]
A:
Q: A company found that -2p + 1000 models the number of TVs sold per month where p can be set as low as…
A: Given
Q: Maximize 5x+5y subject to 2x+y≤30 x+2y≤24 x,y≥0
A: Let us take P = 5x + 5y, now we can form the tables for the constraint inequalities and then solve…
Q: 10. Maximize f(x, y) = 25 – ² - y² subject to 2x + y = 10
A:
Q: The Minimum point of y = 8x+4 (x-2)²
A: Use a graphing utility to plot the function. Use the utility to determine the minimum point.
Q: Maximize Z = 20x1 + 8x2 subject to 16x1 + 8x2 0 %3D
A:
Q: Example For alternative optimal solution Min 3x₁ + x₂ s.t x + 2x2 14 -x₁ + x₂ FI 22 ۱۲/ 2,9x270
A:
Q: Minimize and maximize P= 2x, - 9x2 subject to Xq + X2 s20 5x, + 3x2 2 75 X1,X2 20
A:
Q: A company manufactures two types of athletic shoes, jogging shoes and cross trainers. The total…
A:
Q: Maximize Z = 2x1 + x2; Subject to x2 ≤ 10 2x1 + 5x2 ≤ 60 x1 + x2 ≤ 18 3x1 + x2 ≤ 44 and x1 ≥ 0, x2 ≥…
A:
Q: Maximize x2y subject to the constraint that 1 > x+y.
A:
Q: A company manufactures two types of bicycles, a racing bicycle and a mountain bicycle. The total…
A: It is given that the total revenue of the company that produces x units of racing bicycle and y…
Q: maximize p=x1-x2 subject to x1+x2≤4 2x1+7x2≤14 with x≥0 y≥0
A:
Q: Maximize P=5x-5y subject to 2x+y≤30 x+2y≤24 x,y≥0
A: We can use the graphical method to find the maximum value of P for this linear programming problem.
Q: A manufacturing firm estimates that its total production of automobiles batteries in thousands of…
A:
Q: A retail store has determined that the daily profit for the store is related to the number of…
A: for maximize profit put p'(x)=0.
Q: A firm can produce 200 units per week. If its total cost function is C = 400 + 1300x dollars and its…
A: topic - application of derivatives
Q: Maximize z = 10x₁ + 55x2 + 50x3, subject to 16x1 4x2+ 9x3 S 122 8x₁ + 13x2 + 22x3 ≤ 142 6x215x3 S…
A:
Q: Maximize Z = 2x1 + x2 – 2x3 - Subject to -2xı + x2 + x3 2 -2 - x1 + x2 - x3 2 –4 X1 +x2 + 2x356…
A: Given: Maximize Z=2x1+x2-2x3 Subject to constraints -2x1+x2+x3≥-2 ......(A) -x1+x2-x3≥-4…
Q: A company manufactures running shoes and basketball shoes. The total revenue (in thousands of…
A:
Q: A company manufactures two types of bicycles, a racing bicycle and a mountain bicycle. The total…
A:
Q: Maximize: z=5x+y subject to: x-ys3 5x + 3y ≤ 75 x20, y20
A: Given, Maximise: z=5x+y subject to: x-y≤3…
Q: Maximize z= 14x, +3x,
A:
Q: 3. The total profit (in thousands of dollars) from the sale ofx hundred thousand automobile tires is…
A: Explanation of the answer is as follows
Q: A company manufactures running shoes and basketball shoes. The total revenue (in thousands of…
A:
Q: S(x) = -2x^3 + 27x^2 + 132x + 200 Find the amount spent on advertising to maximize the number of…
A:
Q: Maximize 14x – x^2 + 6y – y^2 + 7 subject to x + y <= 2, x + 2y <= 3.
A: Maximize z=14x-x2+6y-y2+7 Subject to, x+y≤2x+2y≤3 The graph is,
Q: Maximize z = 14x, + 3x, +3x2 subject to: 7x, +3x, s8 2
A:
Q: Show detailed solution. x² +x-12 Minimum point of y = x² -4
A: Given: y=x2+x-12x2-4
Q: Q1/Use simplex method to maximize the function max R=7x+ 4y Subjected to 2x+ y =20 X+Y< 18
A: To maximize R=7x+4y S.T.C. 2x+y=20x+y≤18x≤8 Introduce the slack and artificial variables: Max…
Q: A management company is going to build a new apartment complex. They know that if the complex…
A: To find the number of apartments for which the cost is minimum and also find the minimum cost.
Q: Maximize Subject to · P= 30x +4082 2x₁+x₂ ≤ 30 X₁ + X₂ ≤21 *₁+2x₂ ≤ 36 X₁ X₂ 20
A:
solve the following linear programming problem
Step by step
Solved in 2 steps with 2 images
- Assume that the production of 1 unit of magnesium requires 0.8 units of magnesium and 0.2 units of aluminum, and that the production of 1 unit of aluminum requires 0.3 units of magnesium and 0.2 units of aluminum.how many intergers solutions to x1 + x2 + x3 + x4 = 29 are there for which x1 ≥ 5, x2 ≥ 2, x3 ≥ 6 and x4 ≥ 5?Can u plz provide its solution?
- How to set 1/3X^-2/3 + 4/3X^1/3 to 0 or find the critical numbers?A merchant wants to combine two classes of peanuts with nuts which costs are, respectively, of $1.5, $2.5 and $4 per pound. He wants to obtain 130 pounds of the mix that costs $3 per pound. How many pounds of each class will he need to use if he also wants the quantity of the peanuts of the cheapest variety, to be the double of the most expensive variety?Suppose there are four cities at locations x1 = 2; x2 = 5; x3 = 9, and x4 = 11, requiring respectively Ni = 6; 2; 3; 7 visits, respectively. Suppose that the cost-per-mile to ship goods is $4 between x1 and x2, but $8 between x2 and x3, and $10 between x3 and x4. What is the cost of keeping the PDC at x = 6? What about at x = 10?
- A diabetic patient needs at least 30 units of vitamin A, at least 45 of vitamin C, andat least 30 of vitamin E each day. Each brand X multivitamin capsule contains 4units of A, 6 of C, and 2 of E; each brand Y capsule contains 5 units of A, 3 of C,and 5 of E. If each brand X capsule costs ₱ 6 and each brand Y costs ₱ 9, howmany capsules should the patient take each day in order to minimize the cost?Ace construction company builds two kinds of the driveway: asphalt and concrete. For atypical home, an asphalt driveway requires 4 tons of asphalt and 7 tons of gravel, whereasa concrete driveway requires 1 yard of concrete and 6 tons of gravel. Each ton of asphaltcosts $55, each ton of gravel costs $30, and each yard of concrete costs $67. During thecurrent month, it is expected that 120 asphalt driveways and 95 concrete driveways will be built.i. Write the quantities of driveways to be built and the materials cost as a matrix.ii. Write the amounts of materials to be used per driveway as a matrix.iii. Using matrix multiplication, determine the total expected materials costs.How can I get rid of the highlighted x in this u-substitution problem?
- Suppose that x = 5 and y =6A company manufactures two products such as X and Y using machines A and B. Each X While the product is processed in machine A for 50 minutes, it is processed in machine B for 30 minutes. Each Y product is processed for 24 minutes on machine A, while 33 minutes on machine B sees .. At the beginning of the week, there are 30 X products and 90 Y products in the warehouse. Machine A can work 40 hours a week, while machine B can work 35 hours a week. At the weekend, 75 orders of X products and 95 orders of Y products will be sent to the customer. The aim of the company is to ensure that the X and Y products in the warehouse are to MAXIMIZE the total number. Find the objective function. Also find the production numbers of x and y.A can of cat food, guaranteed by the manufacturer to contain at least 10 units of protein, 20units of mineral matter, and 6 units of fat, consists of a mixture of four different ingredients.Ingredient A contains 10 units of protein, 2 units of mineral matter, and 1 2 unit of fat per100g. Ingredient B contains 1 unit of protein, 40 units of mineral matter, and 3 units of fat per100g. Ingredient C contains 1 unit of protein, 1 unit of mineral matter, and 6 units of fat per100g. Ingredient D contains 5 units of protein, 10 units of mineral matter, and 3 units of fatper 100g. The cost of each ingredient is 3c, 2c, 1c, and 4c per 100g, respectively. How manygrammes of each should be used to minimise the cost of the cat food, while still meeting theguaranteed composition?