Consider the cities D,E,F,G,H,I. The costs of the possible roads between cities are given below: c(D,F)=12 c(D,I)=13 c(E,F)=8 c(E,H)=10 c(F,G)=11 c(F,I)=9 What is the minimum cost to build a road system that connects all the cities?

Q: Consider the cities T,U,V,W,X,Y. The costs of the possible roads between cities are given below:

A:

Q: A fleet repair facility has the capacity to repair 800 trucks per month. However, due to scheduled…

A: Given information Actual output=400 Design capacity=800 Effective capacity=600 (a) We have to…

Q: A manufacturer of refrigerators must ship at least 100 refrigerators to its two warehouses. Each…

A: Let's find.

Q: A piece of wire of length 58 is​ cut, and the resulting two pieces are formed to make a circle and a…

A: Let the circle gets x units and the square gets (58-x) units x is from 0 to 58   Let radius of the…

Q: Consider the cities T,U,V,W,X,Y. The costs of the possible roads between cities are given below:…

A: Given T, U, V, W, X, Y are cites. The costs of possible roads between the cities are given as  c(T,…

Q: The City Council proposed to utilize a government-owned land with an area of 21,600 square meters.…

A: The total area of the land is 21600 square meters. Area of the picnic area = one-third of 21600 =…

Q: The City Council proposed to utilize a government-owned land with an area of 15,000 square meters.…

A: Given that: The City Council proposed to utilize a government-owned land with an area of 15,000…

Q: 6. In Genshin Impact, the optimal crit rate r to crit damage y ratio can be obtained by maximizing…

A:

Q: The City Council proposed to utilize a government-owned land with an area of 9,600 square meters.…

A:

Q: The City Council proposed to utilize a government-owned land with an area of 15,000 square meters.…

A: IT IS GIVEN THAT TOTAL AREA OF THE LAND IS 15,000 M2AND ONE -THIRD OF IT WILL BE USED AS PICNIC AREA…

Q: A farmer decides to purchase fertilizer containing 3 nutrients A, B, and C to be spread to his…

A: a) The given information can be tabulated as follows. Let x be the number of bags of fast grow…

Q: Suppose that a company needs 1,800,000 items during a year and that preparation for each production…

A:

Q: The production function for a firm is p(x, y) = 68x"y"", where x and y are the number of units of…

A: By Method of Lagrange's multiplier . To maximize fx,y,z subject to gx,y,z=k  Solve system of…

Q: A triangle has variable sides x, y, z subject to the constraint such that the perimeters is fixed to…

A: answer is in next step

Q: What would be the optimal location for a warehouse (minimum transportation distance) which would…

A: In order to find the optimal location for warehouse, we have to find the centre of mass w.r.t the…

Q: The City Council proposed to utilize a government-owned land with an area of 15,000 square meters.…

A: The City Council proposed to utilize a government-owned land with an area of 15,000 square meters.…

Q: The total cost of producing x radio sets per day is $(x² + 35x + 25), and the price per set at which…

A: Given that, The total cost of producing x ratios sets per day is $14x2 + 35x + 25. The price per set…

Q: A plant food is made from three chemicals, labeled I, II, and III. In each batch of the plant food,…

A: Given - A plant food is made from three chemicals , labeled I, II, III . In each batch of plant…

Q: 3. Two cities A and B are 8 km and 12 km, respectively, north of a river which runs due east. City B…

A:

Q: A person on a special diet requires at least 140 units of protein and at most 38 units of…

A: Consider the provided question, Let the number of bottles of brand A = x1 The number of bottles of…

Q: rectangular field with one side along a river is to be fenced. Suppose that no fence is needed along…

A:

Q: Consider the cities T,U,V,W,X,Y. The costs of the possible roads between cities are given below:…

A: Given: The cost of possible roads between cities: c(T, X) 7 c(U, V) 10 c(U, W) 12 c(V, W)…

Q: Suppose that a company needs 5 ×10,000 items during a year and that preparation costs are $5 for…

A:

Q: The City Council proposed to utilize a government-owned land with an area of 15,000 square meters.…

A: The total area of land is 15,000 square meters. (1). From question Picnic Area= 150003=5000 m2 Let…

Q: A farmer decides to purchase fertilizer containing 3 nutrients A, B, and C to be spread to his…

A: For part a) To formulate the linear programming from given information. Let number of bags of brand…

Q: 4. A cargo container (in the shape of a rectangular solid) must have a volume of 480 cubic feet. The…

A: The volume of the container which is in the shape of the rectangular solid is given by, V=xyz. The…

Q: A person on a special diet requires at least 100 units of protein and at most 24 units of…

A:

Q: A company needs 400,000 items per year. It costs the company $1,920 to prepare a production run of…

A: To find: The number of items should be produced so that the total costs of production and storage…

Q: Suppose that a company needs 1,800,000 items during a year and that preparation for each production…

A: The preparation for production costs $500. The cost of producing 1 item is $24 to produce each item…

Q: order to ensure optimal health (and thus accurate test results), a lab technician needs to feed the…

A: Here we have to minimize the cost     Part (a):   Let x and y are the number of ounces of food X…

Q: The government owns a land with an area of 12,150 square meters. 1/3 of it will be used for a picnic…

A:

Q: In order to ensure optimal health (and thus accurate test results), a lab technician needs to feed…

A: Step:-1 Let x1, x2 be the amount of food X and food Y respectively to blend. Now, given that    X…

Q: A manufacturer of refrgerators must ship at least 100 rotrigerators to its two warehouses Each…

A:

Q: A city is setting up community garden plots for residents living in apartments. The plots will be…

A: let length of each plot be x and width of each plot be y also length is along x-axis and width is…

Q: A company needs 300,000 items per year. It costs the company $1,440 to prepare a production run of…

A: It is given thatA company needs 300,000 items per year.It costs the company$1,440 to prepare a…

Q: A balanced transportation problem with 8 sources and 5 demand points has constraints excluding sign…

A:

Q: A firm has 2 plants with different functions: - Plant 1: MC = 30 + Q - Plant 2: MC = 20 + 2Q How to…

A: Let us take the outputs of plant1 as Q1 and outputs of plant 2 as Q2.  Then the required marginal…

Q: 19. If the farmer in Exercise 18 wants to enclose 150 square meters of land, what dimensions will…

A: The minimum of a function can be obtained at the point where the slope of the function is 0. The…

Q: An Icelandic horse farmer would like to supply her animals with sufficient vitamins A, B, C and D.…

A: From the given data we can formulate the linear programming problem as follows: Minimize…

Q: Suppose that a company needs 1,200,000 items during a year and that preparation for each production…

A: Consider the provided statement. The preparation for production costs $500. The cost of producing…

Q: 4. A television manufacturing firm needs to design an open-topped box with a square base. The box…

A: Here we have to follow the steps according to the question information to get the answer so I'm…

Q: pharmaceutical firm wishes to allocate Php50,000 towards advertising in newspapers and magazines.…

A: Given, Newspaper Magazine Limitations 1 0 1 0 1 1 500 1000 50,000 50,000 250,000

Q: Consider the cities E, F, G, H,I, J. The costs of the possible roads between cities are given below:…

A:

Q: Consider the cities J, K, L, M, N,0,P,Q. The costs of the possible roads between cities are given…

A:

Q: A satellite television reception station is to be located at point P so that the sum of the squares…

A:

Q: 6. A soda company is designing a new can that is more cost efficient. The base of the can costs…

A:

Q: A pharmaceutical firm wishes to allocate Php50,000 towards advertising in newspapers and magazines.…

A: We will construct a linear programming problem according to the given conditions and solve it using…

Q: A restaurant requires different numbers of full-time employees on different days of the week. Union…

A: Linear Programming model is used to understand the most optimal solution based on the constraints.…

Q: A piece of wire 40 cm long is to be cut into two pieces. One piece will be bent to form a circle,…

A:

Q: In Genshin Impact, the optimal crit rate r to crit damage y ratio can be obtained by maximizing the…

A: Given information:The ratio of optimal crit rate to crit damage y is found by maximising  the…

Contingency Table

A contingency table can be defined as the visual representation of the relationship between two or more categorical variables that can be evaluated and registered. It is a categorical version of the scatterplot, which is used to investigate the linear relationship between two variables. A contingency table is indeed a type of frequency distribution table that displays two variables at the same time.

Binomial Distribution

Binomial is an algebraic expression of the sum or the difference of two terms. Before knowing about binomial distribution, we must know about the binomial theorem.