Firelight Company manufactures candles. The standard direct materials quantity required to produce one large candle is one pound at a cost of $5 per pound. During November, 7,200 large candles were produced using 7,500 pounds of direct materials that cost $45,000.

Using the format below, prepare an analysis of the direct materials variances.

Captain john's yachts, inc., located in fort lauderdale, florida, rents three types of ocean-going boats: sailboats, cabin cruisers, and captain john's favorite, the luxury yachts. captain john advertises his boats with his famous "you rent"we pilot" slogan, which means that the company supplies the captain and crew for each rented boat. each rented boat has one captain, of course, but the crew sizes (deck hands, galley hands, etc.) differ. the crew requirements, in addition to a captain, are one for sailboats, two for cabin cruisers, and three for yachts. ten employees are captains, and an additional 18 employees fill the various crew positions. currently, captain john has rental requests for all his boats: four sailboats, eight cabin cruisers, and three luxury yachts. if captain john's daily profit contribution is $50 for sailboats, $70 for cruisers, and $100 for luxury yachts, how many boats of each type should he rent?

mark, a civil engineer, entered into a contract with david. as per the contract, mark agreed to design and build a house for david for a specified fee. mark provided david with an estimation of the total cost and the contract was mutually agreed upon. however, during construction, when mark increased the price due to a miscalculation on his part, david refused to pay the amount. this scenario is an example of a mistake.

An important application of regression analysis in accounting is in the estimation of cost. by collecting data on volume and cost and using the least squares method to develop an estimated regression equation relating volume and cost, an accountant can estimate the cost associated with a particular manufacturing volume. consider the following sample of production volumes and total cost data for a manufacturing operation. production volume (units) total cost ($) 400 4000 450 5000 550 5400 600 5900 700 6400 750 7000 compute b 1 and b 0 (to 2 decimals if necessary). b 1 b 0 complete the estimated regression equation (to 2 decimals if necessary). = + x what is the variable cost per unit produced (to 1 decimal)? $ compute the coefficient of determination (to 4 decimals). note: report r 2 between 0 and 1. r 2 = what percentage of the variation in total cost can be explained by the production volume (to 2 decimals)? % the company's production schedule shows 500 units must be produced next month. what is the estimated total cost for this operation (to 2 decimals)? $