The cost of controlling emissions at a firm rises rapidly as the amount of emissions reduced increases. Here is a possible model: C(q) = 1,800 + 199q2 where q is the reduction in emissions (in pounds of pollutant per day) and C is the daily cost to the firm (in dollars) of this reduction. What level of reduction corresponds to the lowest average cost per pound of pollutant? (Round your answer to two decimal places.) pounds of pollutant per day What would be the resulting average cost to the nearest dollar? $ per pound Need Help? Read It Watch It I would like to create a rectangular vegetable patch. The fencing for the east and west sides costs $4 per foot, and the fencing for the north and south sides costs only $2 per foot. I have a budget of $144 for the project. Let x be the length in feet of the east side and of the west side. Find the function for area in square feet A, in terms of x only, subject to any constraints. A (x ) = Find A'(x). A' (x ) = What are the dimensions (in ft) of the vegetable patch with the largest area I can enclose? north and south sides Ift east and west sides ft I would like to create a rectangular orchid garden that abuts my house so that the house itself forms the northern boundary. The fencing for the southern boundary costs $10 per foot, and the fencing for the east and west sides costs $5 per foot. If I have a budget of $240 for the project, what are the dimensions of the garden with the largest area I can enclose? ft (smaller value) x Ift (larger value) f+ 2 You are building a right-angled triangular flower garden along a stream as shown in the figure. (The borders can be in any direction as long as they are at right angles as shown.) i The fencing of the left border costs $5 per foot, while the fencing of the lower border costs $1 per foot. (No fencing is required along the river.) You want to spend $80 and enclose as much area as possible. What are the dimensions of your garden, and what area does it enclose? HINT: The area of a right-triangle is given by A = XX. 2 left border bottom border ft garden area ft 2