Kane manufacturing has a division that produces two models of fireplace grates, x units of model a and y units of model b. to produce each model a requires 3 lb of cast iron and 8 min of labor. to produce each model b grate requires 5 lb of cast iron and 5 min of labor. the profit for each model a grate is $2.00, and the profit for each model b grate is $1.50. 1200 lb of cast iron and 1500 min of labor are available for the production of grates per day. because of a backlog of orders on model a grates, the manager of kane manufacturing has decided to produce at least 150 of these grates a day. operating under this additional constraint, how many grates of each model should kane produce to maximize profit p in dollars

The company will produce the requested 150 units of A for a gain of 300 dollars

and then use his resourses to produce B yielding a gain of 90 dollars

total of 390 profit

Explanation:

The company will produce at least 150 units of product A therefore:

lbs used: 150 x 3 = 450

minutes of labor used 150 x 8 = 1,200

leaving available:

1,200 - 450 = 750 lbs

1,500 - 1,200 = 300 mins

As time is the most scarce resource we allocate base on thecontribution per minute:

product A $2 of profit for 8 minutes: 0.25 dollars per minute

product B $1.5 of profit for 5 minutes: 0.30 dollars per minute

As product B is more profitable considering labor time we use the entire amount left to produce product B

300 min / 5 minutes = 60 units of b

hi : ) i found this so i hope this !

"we first find value of tax in dollars.

the difference between the two prices   is: 23. 54 - 22 = 1.54

therefore the sales tax in dollars is 1.54

the tax % will be   (amount of tax / original cost price ) × 100

(1.54 / 22) × 100  → (0.07) × 100 =   7

so the tax rate is 7%

we can double check the answer.

7 % of 22   → (7/100) × 22 → 0.07 × 22 = 1.54

22 + 1.54 = 23.54"

the correct answer is - no.

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