Plant food. A farmer can buy two types of plant food, mix
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- For every 1 kilogram (kg) of a child’s weight pediatricians prescribe 15 milligrams (mg) of a fever reducer. If Isabella weighs 12 kg, how many milligrams of the fever reducer will the pediatrician prescribe?arrow_forwardA farmer can buy two types of plant food, mix A and mix B. Each cubic yard of mix A contains 20 pounds of phosphoric acid, 30 pounds of nitrogen, and 5 pounds of potash. Each cubic yard of mix B contains 10 pounds of phosphoric acid, 30 pounds of nitrogen, and 10 pounds of potash. The minimum monthly requirements are 430 pounds of phosphoric acid, 990 pounds of nitrogen, and 210 pounds of potash. If mix A costs $20 per cubic yard and mix B costs $35 per cubic yard, how many cubic yards of each mix should the farmer blend to meet the minimum monthly requirements at a minimum cost? What is this cost? If mix A costs $20 per cubic yard and mix B costs $35 per cubic yard, the farmer should blend yd³ of mix A and requirements at a minimum cost. yd³ of mix B to meet the minimum monthly The cost is $arrow_forwardA farmer can buy two types of plant food, mix A and mix B. Each cubic yard of mix A contains 36 pounds of phosphoric acid, 30 pounds of nitrogen, and 6 pounds of potash. Each cubic yard of mix B contains 9 pounds of phosphoric acid, 30 pounds of nitrogen, and 36 pounds of potash. The minimum monthly requirements are 540 pounds of phosphoric acid, 900 pounds of nitrogen, and 360 pounds of potash. Find the set of feasible solutions graphically for the amounts of mix A and mix B that can be used.arrow_forward
- parts a and b plewsearrow_forwardA farmer can buy two types of plant food, mix A and mix B. Each cubic yard of mix A contains 20 pounds of phosphoric acid, 30 pounds of nitrogen, and 5 pounds of potash. Each cubic yard of mix B contains 10 pounds of phosphoric acid, 30 pounds of nitrogen, and 10 pounds of potash. The minimum monthly requirements are 500 pounds of phosphoric acid, 990 pounds of nitrogen, and 220 pounds of potash. If mix A costs $20 per cubic yard and mix B costs $30 per cubic yard, how many cubic yards of each mix should the farmer blend to meet the minimum monthly requirements at a minimum cost? What is this cost? If mix A costs $20 per cubic yard and mix B costs $30 per cubic yard, the farmer should blend yd3 of mix A and yd3 of mix B to meet the minimum monthly requirements at a minimum cost. The cost is $ Time Remaining: 01:13:24 Nextarrow_forwardA farmer can buy two types of plant food, mix A and mix B. Each cubic yard of mix A contains 20 pounds of phosphoric acid, 30 pounds of nitrogen, and 5 pounds of potash. Each cubic yard of mix B contains 10 pounds of phosphoric acid, 30 pounds of nitrogen, and 10 pounds of potash. The minimum monthly requirements are 500 pounds of phosphoric acid, 990 pounds of nitrogen, and 220 pounds of potash. If mix A costs $20 per cubic yard and mix B costs $30 per cubic yard, how many cubic yards of each mix should the farmer blend to meet the minimum monthly requirements at a minimum cost? What is this cost? costs $20 per cubic yard and mix B costs $30 per cubic yard, the farmer should blend yd3 of mix A and yd³ of mix B to meet the minimum requirements at a minimum cost. The cost is $ attemptedarrow_forward
- A farmer can buy two types of plant food, mix A and mix B. Each cubic yard of mix A contains 20 pounds of phosphoric acid, 30 pounds of nitrogen, and 5 pounds of potash. Each cubic yard of mix B contains 10 pounds of phosphoric acid, 30 pounds of nitrogen, and 10 pounds of potash. The minimum monthly requirements are 400 pounds of phosphoric acid, 990 pounds of nitrogen, and 220 pounds of potash. If mix A costs $20 per cubic yard and mix B costs $35 per cubic yard, how many cubic yards of each mix should the farmer blend to meet the minimum monthly requirements at a minimum cost? What is this cost? If mix A costs $20 per cubic yard and mix B costs $35 per cubic yard, the farmer should blend yd3 of mix A and yd³ of mix B to meet the minimum monthly requirements at a minimum cost. The cost is $.arrow_forwardA farmer can buy two types of plant food, mix A and mix B. Each cubic yard of mix A contains 20 pounds of phosphoric acid, 30 pounds of nitrogen, and 5 pounds of potash Each cubic yard of mix B contains 10 pounds of phosphoric acid, 30 pounds of nitrogen, and 10 pounds of potash. The minimum monthly requirements are 420 pounds of phosphoric acid, 990 pounds of nitrogen, and 210 pounds of potash. If mix A costs $25 per cubic yard and mix B costs $35 per cubic yard, how many cubic yards of each mix should the farmer blend to meet the minimum monthly requirements at a minimum cost? What is this cost? COD If mix A costs $25 per cubic yard and mix B costs $35 per cubic yard, the farmer should blondyd" of mix A and yd" of mix B to meet the minimum monthly requirements at a minimum cost. The cost is $840arrow_forwardA farmer wishes to cover his field with a nitrogen-based fertilizer so that there is 2 pounds of nitrogen for every 1,000 square feet of the field. the field requires a minimum of 35% nitrogen and the manufacturer recommends that the farmer apply 2.9 pounds of fertilizer to achieve 1 pound of nitrogen for every 1,000 square feet. the farmer has a front field that is 2,000 feet by 150 feet and a back field that is 500 feet by 850 feet. how many pounds of fertilizer will he need?arrow_forward
- A diesel engine uses Type A filter and high-grade lubricating oil costing P5.50 per liter. With this filter, the oil and the filter have to be changed every 500 hours of operation, and 5 liters of coil have to be added every 100 hours. This filter costs P148 a piece. Eighty liters of coil fill the engine. Another type, filter B, costing P120 may be used with a lower grade of oil costing P4.80 per liter. However, if this filter is used, the oil and filter have to be changed every 300 hours, and 10 liters are added after each 150 hours the engine is used. Which type of filter and oil would you recommend?arrow_forwardBecause of new federal regulations on pollution, a chemical plant introduced a new, more expensive process to supplement or replace an older process used in the production of a particular chemical. The older process emitted 40 grams of sulfur dioxide and 120 grams of particulate matter into the atmosphere for each gallon of chemical produced. The new process emits 5 grams of sulfur dioxide and 40 grams of particulate matter for each gallon produced. The company makes a profit of 80¢ per gallon and 20¢ per gallon on the old and new processes, respectively. Answer parts (A) through (C) below. (A) If the government allows the plant to emit no more than 36,000 grams of sulfur dioxide and 90,000 grams of particulate matter daily, how many gallons of the chemical should be produced by each process to maximize daily profit? Wha is the maximum daily profit? Summarize the model, Maximize Objective function subject to V 36,000 Sulfur dioxide constraint V 90,000 Particulate constraint х, у 2…arrow_forwardA Toot can be made in 30 minutes and has a feather attached to it. A Wheet requires 15 minutes, has two feathers, and is sprinkled with 0.5 oz of sequin powder. A Honk requires 30 minutes, has three feathers, and one oz. of sequin powder. The net profit is $0.40 per Toot, $0.50 per Wheet, and $0.80 per Honk. The following resources are available: 4800 minutes of labor, 360 feathers, and 90 oz. of sequin powder. Determine the quantity of each type of noisemaker that maximizes profit.arrow_forward
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