Monique’s Florals produced a special Mother’s Day arrangement that included eight roses. The standard and actual costs of the roses used in each arrangement follow: Standard Actual Average number of roses per arrangement 9.10 9.50 Price per rose × $ 0.90 × $ 0.84 Cost of roses per arrangement $ 8.19 $ 7.98 Monique’s Florals planned to make 805 arrangements but actually made 900. Required Determine the total flexible budget materials variance and indicate whether it is favorable (F) or unfavorable (U). Determine the materials price variance and indicate whether it is favorable (F) or unfavorable (U). Determine the materials usage variance and indicate whether it is favorable (F) or unfavorable (U). Confirm the accuracy of Requirements a, b, and c by showing that the sum of the price and usage variances equals the total variance.\

The monthly demand equation for an electric utility company is estimated to be p equals 60 minus left parenthesis 10 superscript negative 5 baseline right parenthesis x, where p is measured in dollars and x is measured in thousands of killowatt-hours. the utility has fixed costs of $3 comma 000 comma 000 per month and variable costs of $32 per 1000 kilowatt-hours of electricity generated, so the cost function is upper c left parenthesis x right parenthesis equals 3 times 10 superscript 6 baseline plus 32 x. (a) find the value of x and the corresponding price for 1000 kilowatt-hours that maximize the utility's profit. (b) suppose that the rising fuel costs increase the utility's variable costs from $32 to $38, so its new cost function is upper c 1 left parenthesis x right parenthesis equals 3 times 10 superscript 6 baseline plus 38 x. should the utility pass all this increase of $6 per thousand kilowatt-hours on to the consumers?