A company manufactures two types of leaf blowers: an electric Turbo model and a gas-powered Tornado model. The company's production plan calls for the production of at least 690 blowers per month. It costs $74 to produce each Turbo model and $111 to manufacture each Tornado model, and the company has at most $63,640 per month to use for production. Find the number of units that should be produced to maximize profit for the company, and the maximum profit, if the profit on each Turbo model is $35 and the profit on each Tornado model is $40. The maximum value is $ by producing integers or decimals.) units of the Turbo model and units of the Tornado model. (Type

Find profit if total cost and total revenue are $300 and $400 respectively

production function is Q = An orange grower has discovered a process for producing oranges that requires two inputs. The min{2x1, x2}, where x₁ and x2 are the amounts of inputs 1 and 2 that he uses. The prices of these two inputs are w₁ = 5 and w₂ = = 2, respectively. The minimum cost of producing 140 units is (a) $980 (b) $630 (c) $1400 (d) $280 (e) $700

Given Cost and Price (demand) functions C(q) = 110q + 45000 and p(q) = - 2.8q + 800, what profit can be earned if the price is set to be $550 per item? U The profit is $ 1,?9 (Round to the nearest cent.) A company produces a special new type of TV. The company has fixed costs of $499,000, and it costs STT00 to produce each TV. The company projects that if it charges a price of $2300 for the TV, it will be able to sell 850 TVs. If the company wants to sell 900 TVs, however, it must lower the price to $2000. Assumo a linear demand. What is the marginal profit if 200 TVs are produced It is $ 0 per item. (Round answer to nearest dollar.)

A group can charter a particular aircraft at a fixed total cost. If 36 people charter the aircraft rather than 40 people, then the cost per person is greater by $12. Whatis the fixed total cost, in dollars, to charter the aircraft?

A manufacturer estimates that its product can be produced at a total cost of c(x)=40,000+100x+x^3 dollars. If the manufacturer's total revenue from the sale of x units is R(x)=4300x dollars, determine the level of production x that will maximize the profit. Find the maximum profit.

A cost function is given. C(q) = 3600 + 5q-0.02q² + 0.00039³ (a) Find the average cost and marginal cost functions. +5 -0.02q +0.0003q average cost 3600 9 marginal cost 5 -0.04q+0.0009q (b) Use graphs of the functions in part (a) to estimate the production level that minimizes the average cost. (Round your answer to the nearest integer.) 194 ✓ units (c) Use calculus to find the minimum average cost. (Round your answer to two decimal places.) $ 32.41 X (d) Find the minimum value of the marginal cost. (Round your answer to two decimal places.) $ 4.56

The total cost a power plant ($/megawatts) to produce electricity is Y=12+1.3X+0.24 X2 , where X is in megawatts. The estimated selling price of electricity is (16-0.23X) per megawatts. Find the value of X that maximizes profit. Group of answer choices Less than 10 megawatts Between 10-12 megawatts Between 12-14 megawatts More than 14 megawatts Dont

A particular style of sunglasses costs the retaller $90 per pair. At what price should the retaller mark them so he can sell them at a 10% discount off the original price and still make 40% profit on his cost?

Calculate output if total revenue is $6600 and the price per UNIT is $11