Cauchy Canners produces canned whole tomatoes and tomato sauce. This season, the company has available 3,000,000 kg of tomatoes for these two products. To meet the demands of regular customers, it must produce at least 80,000 kg of sauce and 800,000 kg of whole tomatoes. The cost per kilogram is $4 to produce canned whole tomatoes and $3.25 to produce tomato sauce. Labor agreements require that at least 110,000 person hours be used. Each kilogram can of sauce requires 3 minutes for one worker, and each kilogram can of whole tomatoes requires 6 minutes for one worker. How many kilograms of tomatoes should Cauchy use for each product to minimize cost? (For simplicity, assume production of y1 kg of canned whole tomatoes and y2 kg of tomato sauce requires y1 + y2 kg of tomatoes.)

Find the dimensions of the garden that minimize the cost : A landscape architect wishes to enclose a rectangular garden on one side by a brick wall costing $30/ft and on the other three sides by a metal fence costing $20/ft. If the area of the garden is 1,500 ft2, find the dimensions of the garden that mi.. |

What is the output of each firm if they collude to produce : Once again, assume Cournot competition in an industry in which market demand is described by P = 260 - 2Q and in which each firm has a marginal cost of 20. However, instead of two firms, let there now be four. a. What is the one-period Nash equilibri.. |

Calculate the equilibrium molar concentration : A student titrated a 10 mL sample of a saturated solution of borax. If the titration required 23.95 mL of 0.2556 M HCL to reach the endpoint, calculate the equilibrium molar concentration of B4O5(OH(4 in the saturated solution |

Find the values of b and c when projectile passes through : The hight of the projectile in feet at time t in seconds is given by: f(t)=-16t^2+bt+c. |

How each product to minimize cost : Cauchy Canners produces canned whole tomatoes and tomato sauce. This season, the company has available 3,000,000 kg of tomatoes for these two products. |

Fed implement monetary policy : How does the Fed implement monetary policy to manage the economy and is the Fed currently using Expansionary Monetary Policy? Why? Why Not? |

Determine the number of moles of atoms : Determine the number of moles of atoms in a 22.89 g sample of a metal whose molar mass (MM) is 58.69 g. |

How to maintain the collusive agreement : Return again to the cartel in Problems 4 and 5. Now suppose that the market game repeated indefinitely. What is the discount factor (sigma) is necessary now in order to maintain the collusive agreement in an indenitely repeated setting |

Community versus the individual freedom of a person : How does one way the safety of the community versus the individual freedom of a person? |

## Question regarding dihedral groupsUse the gemerators and relations for D(sub2n)= to show that if x is any element of D2n, that is not a power of r, then rx=xr^-1. |

## What is the tension t in the cableAn audio speaker that weighs 50 pounds hangs from the center of a 6 foot cable the ends of which are fastened to the ceiling of a restaurant. At equilibrium the minimum point of the stretched cable is 0.5 ft below the ceiling. To two decimal place.. |

## How many randomly selected students must be surveyedCollege officials want to estimate the percentage of students who carry a gun, knife, or other such weapon. How many randomly selected students must be surveyed in order to be 95% confident that the sample percentage has a margin of error of 2 per.. |

## How fast is the water level risingA water trough is 10m long and a cross-section has the shape of an isosceles trapezoid that is 30cm wide at the bottom, 80 cm wide at the top and has height of 50 cm. if the trough is being filled with water at the rate of 0.2 m^3/min, how fast is.. |

## What should be the level of sales be in order for division(b) What should be the level of sales be in order for the division to realize a 13% profit over the cost of making the diaries? (Round your answer to the nearest whole number.) |

## How much money was investedJen invested a total of 500 dollars, part of it at 9 percent interest and the rest at 10 percent. If 48 dollars was earned from the investment, how much money was invested? |

## Find a linear function that express the constume demandFind a linear function D(x) that express the constume demand as a function of the price per pound x |

## Find the slope of the pathA path that passes through a pasture rises 323 feet over a horizontal distance of 4600 feet. Find the slope of the path. Round your answer to two decimal places. |

## Estimate the relative error in the calculated surface areaThe circumference of a sphere was measured to be 73000 cm with a possible error of 050000 cm. Use linear approximation to estimate the maximum error in the calculated surface area. Estimate the relative error in the calculated surface area. |

## Find the dimensions of the boxIf an open box has a square base and a volume of 96 in. and is constructed from a tin sheet, find the dimensions of the box, assuming a minimum amount of material is used in its construction. |

## By what percent does the substance decay each yearforty percent of a radioactive substance decays in 5 years. By what percent does the substance decay each year? |

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